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Finding the Fourth Proportional to 17,916.16, 24,727 and 12,897

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Solution

The fourth proportional to 17,916.16, 24,727 and 12,897 is: 17,799.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,916.16 : 24,727 = 12,897 : x
  2. Step 2: Convert to fraction form
    17,916.16/24,727 = 12,897/x
  3. Step 3: Cross multiply
    17,916.16x = 24,727 × 12,897
  4. Step 4: Simplify right side
    17,916.16x = 318,904,119
  5. Step 5: Solve for x
    x = 318,904,119/17,916.16
  6. Step 6: Final answer
    x = 17,799.80

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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.