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Finding the Fourth Proportional to 17,859.98, 24,646.72 and 9,902

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Solution

The fourth proportional to 17,859.98, 24,646.72 and 9,902 is: 13,664.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,859.98 : 24,646.72 = 9,902 : x
  2. Step 2: Convert to fraction form
    17,859.98/24,646.72 = 9,902/x
  3. Step 3: Cross multiply
    17,859.98x = 24,646.72 × 9,902
  4. Step 4: Simplify right side
    17,859.98x = 244,051,821.44
  5. Step 5: Solve for x
    x = 244,051,821.44/17,859.98
  6. Step 6: Final answer
    x = 13,664.73

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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.