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Finding the Fourth Proportional to 24,197.32, 36,281.84 and 9,388.94

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Solution

The fourth proportional to 24,197.32, 36,281.84 and 9,388.94 is: 14,077.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,197.32 : 36,281.84 = 9,388.94 : x
  2. Step 2: Convert to fraction form
    24,197.32/36,281.84 = 9,388.94/x
  3. Step 3: Cross multiply
    24,197.32x = 36,281.84 × 9,388.94
  4. Step 4: Simplify right side
    24,197.32x = 340,647,860.91
  5. Step 5: Solve for x
    x = 340,647,860.91/24,197.32
  6. Step 6: Final answer
    x = 14,077.92

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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.