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Finding the Fourth Proportional to 22,774.92, 31,432.13 and 13,343.48

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Solution

The fourth proportional to 22,774.92, 31,432.13 and 13,343.48 is: 18,415.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,774.92 : 31,432.13 = 13,343.48 : x
  2. Step 2: Convert to fraction form
    22,774.92/31,432.13 = 13,343.48/x
  3. Step 3: Cross multiply
    22,774.92x = 31,432.13 × 13,343.48
  4. Step 4: Simplify right side
    22,774.92x = 419,414,193.91
  5. Step 5: Solve for x
    x = 419,414,193.91/22,774.92
  6. Step 6: Final answer
    x = 18,415.62

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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.