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Finding the Fourth Proportional to 22,657.32, 33,948.39 and 13,873.78

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Solution

The fourth proportional to 22,657.32, 33,948.39 and 13,873.78 is: 20,787.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,657.32 : 33,948.39 = 13,873.78 : x
  2. Step 2: Convert to fraction form
    22,657.32/33,948.39 = 13,873.78/x
  3. Step 3: Cross multiply
    22,657.32x = 33,948.39 × 13,873.78
  4. Step 4: Simplify right side
    22,657.32x = 470,992,549.66
  5. Step 5: Solve for x
    x = 470,992,549.66/22,657.32
  6. Step 6: Final answer
    x = 20,787.65

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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.