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Finding the Fourth Proportional to 17,666.56, 24,380.40 and 9,708.64

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Solution

The fourth proportional to 17,666.56, 24,380.40 and 9,708.64 is: 13,398.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,666.56 : 24,380.40 = 9,708.64 : x
  2. Step 2: Convert to fraction form
    17,666.56/24,380.40 = 9,708.64/x
  3. Step 3: Cross multiply
    17,666.56x = 24,380.40 × 9,708.64
  4. Step 4: Simplify right side
    17,666.56x = 236,700,526.66
  5. Step 5: Solve for x
    x = 236,700,526.66/17,666.56
  6. Step 6: Final answer
    x = 13,398.22

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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.