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Finding the Fourth Proportional to 22,148.80, 30,565.44 and 13,200.80

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Solution

The fourth proportional to 22,148.80, 30,565.44 and 13,200.80 is: 18,217.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,148.80 : 30,565.44 = 13,200.80 : x
  2. Step 2: Convert to fraction form
    22,148.80/30,565.44 = 13,200.80/x
  3. Step 3: Cross multiply
    22,148.80x = 30,565.44 × 13,200.80
  4. Step 4: Simplify right side
    22,148.80x = 403,488,260.35
  5. Step 5: Solve for x
    x = 403,488,260.35/22,148.80
  6. Step 6: Final answer
    x = 18,217.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.