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Finding the Fourth Proportional to 14,537, 20,062.68 and 8,251.40

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Solution

The fourth proportional to 14,537, 20,062.68 and 8,251.40 is: 11,387.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,537 : 20,062.68 = 8,251.40 : x
  2. Step 2: Convert to fraction form
    14,537/20,062.68 = 8,251.40/x
  3. Step 3: Cross multiply
    14,537x = 20,062.68 × 8,251.40
  4. Step 4: Simplify right side
    14,537x = 165,545,197.75
  5. Step 5: Solve for x
    x = 165,545,197.75/14,537
  6. Step 6: Final answer
    x = 11,387.85

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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.