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Finding the Fourth Proportional to 11,614.76, 17,424.23 and 4,229.59

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Solution

The fourth proportional to 11,614.76, 17,424.23 and 4,229.59 is: 6,345.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,614.76 : 17,424.23 = 4,229.59 : x
  2. Step 2: Convert to fraction form
    11,614.76/17,424.23 = 4,229.59/x
  3. Step 3: Cross multiply
    11,614.76x = 17,424.23 × 4,229.59
  4. Step 4: Simplify right side
    11,614.76x = 73,697,348.97
  5. Step 5: Solve for x
    x = 73,697,348.97/11,614.76
  6. Step 6: Final answer
    x = 6,345.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.