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Finding the Fourth Proportional to 16,603.38, 22,915.71 and 9,534.11

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Solution

The fourth proportional to 16,603.38, 22,915.71 and 9,534.11 is: 13,158.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,603.38 : 22,915.71 = 9,534.11 : x
  2. Step 2: Convert to fraction form
    16,603.38/22,915.71 = 9,534.11/x
  3. Step 3: Cross multiply
    16,603.38x = 22,915.71 × 9,534.11
  4. Step 4: Simplify right side
    16,603.38x = 218,480,785.29
  5. Step 5: Solve for x
    x = 218,480,785.29/16,603.38
  6. Step 6: Final answer
    x = 13,158.81

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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.