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Finding the Fourth Proportional to 17,614.14, 24,307.52 and 9,656.20

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Solution

The fourth proportional to 17,614.14, 24,307.52 and 9,656.20 is: 13,325.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,614.14 : 24,307.52 = 9,656.20 : x
  2. Step 2: Convert to fraction form
    17,614.14/24,307.52 = 9,656.20/x
  3. Step 3: Cross multiply
    17,614.14x = 24,307.52 × 9,656.20
  4. Step 4: Simplify right side
    17,614.14x = 234,718,274.62
  5. Step 5: Solve for x
    x = 234,718,274.62/17,614.14
  6. Step 6: Final answer
    x = 13,325.56

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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.