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Finding the Fourth Proportional to 14,232.84, 19,642.08 and 8,266.38

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Solution

The fourth proportional to 14,232.84, 19,642.08 and 8,266.38 is: 11,408.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,232.84 : 19,642.08 = 8,266.38 : x
  2. Step 2: Convert to fraction form
    14,232.84/19,642.08 = 8,266.38/x
  3. Step 3: Cross multiply
    14,232.84x = 19,642.08 × 8,266.38
  4. Step 4: Simplify right side
    14,232.84x = 162,368,897.27
  5. Step 5: Solve for x
    x = 162,368,897.27/14,232.84
  6. Step 6: Final answer
    x = 11,408.05

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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.