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Finding the Fourth Proportional to 22,565.20, 33,823.80 and 10,870.80

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Solution

The fourth proportional to 22,565.20, 33,823.80 and 10,870.80 is: 16,294.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,565.20 : 33,823.80 = 10,870.80 : x
  2. Step 2: Convert to fraction form
    22,565.20/33,823.80 = 10,870.80/x
  3. Step 3: Cross multiply
    22,565.20x = 33,823.80 × 10,870.80
  4. Step 4: Simplify right side
    22,565.20x = 367,691,765.04
  5. Step 5: Solve for x
    x = 367,691,765.04/22,565.20
  6. Step 6: Final answer
    x = 16,294.64

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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.