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Finding the Fourth Proportional to 23,824.71, 32,882.04 and 13,217.76

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Solution

The fourth proportional to 23,824.71, 32,882.04 and 13,217.76 is: 18,242.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,824.71 : 32,882.04 = 13,217.76 : x
  2. Step 2: Convert to fraction form
    23,824.71/32,882.04 = 13,217.76/x
  3. Step 3: Cross multiply
    23,824.71x = 32,882.04 × 13,217.76
  4. Step 4: Simplify right side
    23,824.71x = 434,626,913.03
  5. Step 5: Solve for x
    x = 434,626,913.03/23,824.71
  6. Step 6: Final answer
    x = 18,242.69

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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.