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Finding the Fourth Proportional to 17,572.64, 24,250.82 and 9,614.86

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Solution

The fourth proportional to 17,572.64, 24,250.82 and 9,614.86 is: 13,268.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,572.64 : 24,250.82 = 9,614.86 : x
  2. Step 2: Convert to fraction form
    17,572.64/24,250.82 = 9,614.86/x
  3. Step 3: Cross multiply
    17,572.64x = 24,250.82 × 9,614.86
  4. Step 4: Simplify right side
    17,572.64x = 233,168,239.19
  5. Step 5: Solve for x
    x = 233,168,239.19/17,572.64
  6. Step 6: Final answer
    x = 13,268.82

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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.