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Finding the Fourth Proportional to 24,397.20, 36,595.62 and 6,866.64

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Solution

The fourth proportional to 24,397.20, 36,595.62 and 6,866.64 is: 10,299.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,397.20 : 36,595.62 = 6,866.64 : x
  2. Step 2: Convert to fraction form
    24,397.20/36,595.62 = 6,866.64/x
  3. Step 3: Cross multiply
    24,397.20x = 36,595.62 × 6,866.64
  4. Step 4: Simplify right side
    24,397.20x = 251,288,948.12
  5. Step 5: Solve for x
    x = 251,288,948.12/24,397.20
  6. Step 6: Final answer
    x = 10,299.91

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