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Finding the Fourth Proportional to 17,859.96, 24,646.80 and 9,902.28

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Solution

The fourth proportional to 17,859.96, 24,646.80 and 9,902.28 is: 13,665.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,859.96 : 24,646.80 = 9,902.28 : x
  2. Step 2: Convert to fraction form
    17,859.96/24,646.80 = 9,902.28/x
  3. Step 3: Cross multiply
    17,859.96x = 24,646.80 × 9,902.28
  4. Step 4: Simplify right side
    17,859.96x = 244,059,514.70
  5. Step 5: Solve for x
    x = 244,059,514.70/17,859.96
  6. Step 6: Final answer
    x = 13,665.18

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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.