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Finding the Fourth Proportional to 23,499.92, 32,429.72 and 12,889.48

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Solution

The fourth proportional to 23,499.92, 32,429.72 and 12,889.48 is: 17,787.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,499.92 : 32,429.72 = 12,889.48 : x
  2. Step 2: Convert to fraction form
    23,499.92/32,429.72 = 12,889.48/x
  3. Step 3: Cross multiply
    23,499.92x = 32,429.72 × 12,889.48
  4. Step 4: Simplify right side
    23,499.92x = 418,002,166.80
  5. Step 5: Solve for x
    x = 418,002,166.80/23,499.92
  6. Step 6: Final answer
    x = 17,787.38

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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.