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Finding the Fourth Proportional to 17,860.29, 24,646.84 and 9,902.44

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Solution

The fourth proportional to 17,860.29, 24,646.84 and 9,902.44 is: 13,665.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,860.29 : 24,646.84 = 9,902.44 : x
  2. Step 2: Convert to fraction form
    17,860.29/24,646.84 = 9,902.44/x
  3. Step 3: Cross multiply
    17,860.29x = 24,646.84 × 9,902.44
  4. Step 4: Simplify right side
    17,860.29x = 244,063,854.29
  5. Step 5: Solve for x
    x = 244,063,854.29/17,860.29
  6. Step 6: Final answer
    x = 13,665.17

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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.