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Finding the Fourth Proportional to 23,898.38, 32,978.96 and 13,287.80

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Solution

The fourth proportional to 23,898.38, 32,978.96 and 13,287.80 is: 18,336.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,898.38 : 32,978.96 = 13,287.80 : x
  2. Step 2: Convert to fraction form
    23,898.38/32,978.96 = 13,287.80/x
  3. Step 3: Cross multiply
    23,898.38x = 32,978.96 × 13,287.80
  4. Step 4: Simplify right side
    23,898.38x = 438,217,824.69
  5. Step 5: Solve for x
    x = 438,217,824.69/23,898.38
  6. Step 6: Final answer
    x = 18,336.72

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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.