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Finding the Fourth Proportional to 17,666.86, 24,380.27 and 9,709.60

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Solution

The fourth proportional to 17,666.86, 24,380.27 and 9,709.60 is: 13,399.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,666.86 : 24,380.27 = 9,709.60 : x
  2. Step 2: Convert to fraction form
    17,666.86/24,380.27 = 9,709.60/x
  3. Step 3: Cross multiply
    17,666.86x = 24,380.27 × 9,709.60
  4. Step 4: Simplify right side
    17,666.86x = 236,722,546.34
  5. Step 5: Solve for x
    x = 236,722,546.34/17,666.86
  6. Step 6: Final answer
    x = 13,399.24

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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.