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Finding the Fourth Proportional to 16,613.10, 22,924.14 and 9,897.78

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Solution

The fourth proportional to 16,613.10, 22,924.14 and 9,897.78 is: 13,657.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,613.10 : 22,924.14 = 9,897.78 : x
  2. Step 2: Convert to fraction form
    16,613.10/22,924.14 = 9,897.78/x
  3. Step 3: Cross multiply
    16,613.10x = 22,924.14 × 9,897.78
  4. Step 4: Simplify right side
    16,613.10x = 226,898,094.41
  5. Step 5: Solve for x
    x = 226,898,094.41/16,613.10
  6. Step 6: Final answer
    x = 13,657.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.