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Finding the Fourth Proportional to 22,304.92, 30,781.22 and 13,352.80

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Solution

The fourth proportional to 22,304.92, 30,781.22 and 13,352.80 is: 18,427.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,304.92 : 30,781.22 = 13,352.80 : x
  2. Step 2: Convert to fraction form
    22,304.92/30,781.22 = 13,352.80/x
  3. Step 3: Cross multiply
    22,304.92x = 30,781.22 × 13,352.80
  4. Step 4: Simplify right side
    22,304.92x = 411,015,474.42
  5. Step 5: Solve for x
    x = 411,015,474.42/22,304.92
  6. Step 6: Final answer
    x = 18,427.12

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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.