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Finding the Fourth Proportional to 21,098.38, 29,102.04 and 13,532.72

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Solution

The fourth proportional to 21,098.38, 29,102.04 and 13,532.72 is: 18,666.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,098.38 : 29,102.04 = 13,532.72 : x
  2. Step 2: Convert to fraction form
    21,098.38/29,102.04 = 13,532.72/x
  3. Step 3: Cross multiply
    21,098.38x = 29,102.04 × 13,532.72
  4. Step 4: Simplify right side
    21,098.38x = 393,829,758.75
  5. Step 5: Solve for x
    x = 393,829,758.75/21,098.38
  6. Step 6: Final answer
    x = 18,666.35

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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.