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Finding the Fourth Proportional to 14,232,564.34, 19,640,947.94 and 7,706,198.12

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Solution

The fourth proportional to 14,232,564.34, 19,640,947.94 and 7,706,198.12 is: 10,634,558.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,232,564.34 : 19,640,947.94 = 7,706,198.12 : x
  2. Step 2: Convert to fraction form
    14,232,564.34/19,640,947.94 = 7,706,198.12/x
  3. Step 3: Cross multiply
    14,232,564.34x = 19,640,947.94 × 7,706,198.12
  4. Step 4: Simplify right side
    14,232,564.34x = 151,357,035,982,408.38
  5. Step 5: Solve for x
    x = 151,357,035,982,408.38/14,232,564.34
  6. Step 6: Final answer
    x = 10,634,558.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.