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Finding the Fourth Proportional to 13,933.54, 19,228.25 and 7,645.94

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Solution

The fourth proportional to 13,933.54, 19,228.25 and 7,645.94 is: 10,551.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,933.54 : 19,228.25 = 7,645.94 : x
  2. Step 2: Convert to fraction form
    13,933.54/19,228.25 = 7,645.94/x
  3. Step 3: Cross multiply
    13,933.54x = 19,228.25 × 7,645.94
  4. Step 4: Simplify right side
    13,933.54x = 147,018,045.81
  5. Step 5: Solve for x
    x = 147,018,045.81/13,933.54
  6. Step 6: Final answer
    x = 10,551.38

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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.