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Finding the Fourth Proportional to 17,614.16, 24,307.39 and 9,656.36

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Solution

The fourth proportional to 17,614.16, 24,307.39 and 9,656.36 is: 13,325.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,614.16 : 24,307.39 = 9,656.36 : x
  2. Step 2: Convert to fraction form
    17,614.16/24,307.39 = 9,656.36/x
  3. Step 3: Cross multiply
    17,614.16x = 24,307.39 × 9,656.36
  4. Step 4: Simplify right side
    17,614.16x = 234,721,026.92
  5. Step 5: Solve for x
    x = 234,721,026.92/17,614.16
  6. Step 6: Final answer
    x = 13,325.70

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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.