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Finding the Fourth Proportional to 23,773.44, 32,801.92 and 15,280

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Solution

The fourth proportional to 23,773.44, 32,801.92 and 15,280 is: 21,082.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,773.44 : 32,801.92 = 15,280 : x
  2. Step 2: Convert to fraction form
    23,773.44/32,801.92 = 15,280/x
  3. Step 3: Cross multiply
    23,773.44x = 32,801.92 × 15,280
  4. Step 4: Simplify right side
    23,773.44x = 501,213,337.60
  5. Step 5: Solve for x
    x = 501,213,337.60/23,773.44
  6. Step 6: Final answer
    x = 21,082.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.