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Finding the Fourth Proportional to 22,558, 31,144.16 and 14,494.92

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Solution

The fourth proportional to 22,558, 31,144.16 and 14,494.92 is: 20,012.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,558 : 31,144.16 = 14,494.92 : x
  2. Step 2: Convert to fraction form
    22,558/31,144.16 = 14,494.92/x
  3. Step 3: Cross multiply
    22,558x = 31,144.16 × 14,494.92
  4. Step 4: Simplify right side
    22,558x = 451,432,107.67
  5. Step 5: Solve for x
    x = 451,432,107.67/22,558
  6. Step 6: Final answer
    x = 20,012.06

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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.