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Finding the Fourth Proportional to 17,666.32, 24,379.03 and 9,708.55

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Solution

The fourth proportional to 17,666.32, 24,379.03 and 9,708.55 is: 13,397.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,666.32 : 24,379.03 = 9,708.55 : x
  2. Step 2: Convert to fraction form
    17,666.32/24,379.03 = 9,708.55/x
  3. Step 3: Cross multiply
    17,666.32x = 24,379.03 × 9,708.55
  4. Step 4: Simplify right side
    17,666.32x = 236,685,031.71
  5. Step 5: Solve for x
    x = 236,685,031.71/17,666.32
  6. Step 6: Final answer
    x = 13,397.53

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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.