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Finding the Fourth Proportional to 17,614.26, 24,307.54 and 9,656.48

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Solution

The fourth proportional to 17,614.26, 24,307.54 and 9,656.48 is: 13,325.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,614.26 : 24,307.54 = 9,656.48 : x
  2. Step 2: Convert to fraction form
    17,614.26/24,307.54 = 9,656.48/x
  3. Step 3: Cross multiply
    17,614.26x = 24,307.54 × 9,656.48
  4. Step 4: Simplify right side
    17,614.26x = 234,725,273.86
  5. Step 5: Solve for x
    x = 234,725,273.86/17,614.26
  6. Step 6: Final answer
    x = 13,325.87

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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.