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Finding the Fourth Proportional to 17,666.13, 24,379.73 and 9,708.56

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Solution

The fourth proportional to 17,666.13, 24,379.73 and 9,708.56 is: 13,398.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,666.13 : 24,379.73 = 9,708.56 : x
  2. Step 2: Convert to fraction form
    17,666.13/24,379.73 = 9,708.56/x
  3. Step 3: Cross multiply
    17,666.13x = 24,379.73 × 9,708.56
  4. Step 4: Simplify right side
    17,666.13x = 236,691,901.05
  5. Step 5: Solve for x
    x = 236,691,901.05/17,666.13
  6. Step 6: Final answer
    x = 13,398.06

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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.