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Finding the Fourth Proportional to 23,502.46, 32,431.70 and 12,890.38

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Solution

The fourth proportional to 23,502.46, 32,431.70 and 12,890.38 is: 17,787.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,502.46 : 32,431.70 = 12,890.38 : x
  2. Step 2: Convert to fraction form
    23,502.46/32,431.70 = 12,890.38/x
  3. Step 3: Cross multiply
    23,502.46x = 32,431.70 × 12,890.38
  4. Step 4: Simplify right side
    23,502.46x = 418,056,937.05
  5. Step 5: Solve for x
    x = 418,056,937.05/23,502.46
  6. Step 6: Final answer
    x = 17,787.79

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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.