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Finding the Fourth Proportional to 15,229.60, 22,844.40 and 12,823.90

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Solution

The fourth proportional to 15,229.60, 22,844.40 and 12,823.90 is: 19,235.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,229.60 : 22,844.40 = 12,823.90 : x
  2. Step 2: Convert to fraction form
    15,229.60/22,844.40 = 12,823.90/x
  3. Step 3: Cross multiply
    15,229.60x = 22,844.40 × 12,823.90
  4. Step 4: Simplify right side
    15,229.60x = 292,954,301.16
  5. Step 5: Solve for x
    x = 292,954,301.16/15,229.60
  6. Step 6: Final answer
    x = 19,235.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.