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Finding the Fourth Proportional to 24,505.28, 36,735.90 and 8,912

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Solution

The fourth proportional to 24,505.28, 36,735.90 and 8,912 is: 13,359.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,505.28 : 36,735.90 = 8,912 : x
  2. Step 2: Convert to fraction form
    24,505.28/36,735.90 = 8,912/x
  3. Step 3: Cross multiply
    24,505.28x = 36,735.90 × 8,912
  4. Step 4: Simplify right side
    24,505.28x = 327,390,340.80
  5. Step 5: Solve for x
    x = 327,390,340.80/24,505.28
  6. Step 6: Final answer
    x = 13,359.99

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Why These Related Problems?

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