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Finding the Fourth Proportional to 17,711.92, 24,432.06 and 10,640.08

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Solution

The fourth proportional to 17,711.92, 24,432.06 and 10,640.08 is: 14,677.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,711.92 : 24,432.06 = 10,640.08 : x
  2. Step 2: Convert to fraction form
    17,711.92/24,432.06 = 10,640.08/x
  3. Step 3: Cross multiply
    17,711.92x = 24,432.06 × 10,640.08
  4. Step 4: Simplify right side
    17,711.92x = 259,959,072.96
  5. Step 5: Solve for x
    x = 259,959,072.96/17,711.92
  6. Step 6: Final answer
    x = 14,677.07

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1.5x scale

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.