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Finding the Fourth Proportional to 24,398.20, 36,599.28 and 6,869.44

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Solution

The fourth proportional to 24,398.20, 36,599.28 and 6,869.44 is: 10,304.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,398.20 : 36,599.28 = 6,869.44 : x
  2. Step 2: Convert to fraction form
    24,398.20/36,599.28 = 6,869.44/x
  3. Step 3: Cross multiply
    24,398.20x = 36,599.28 × 6,869.44
  4. Step 4: Simplify right side
    24,398.20x = 251,416,558.00
  5. Step 5: Solve for x
    x = 251,416,558.00/24,398.20
  6. Step 6: Final answer
    x = 10,304.72

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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.