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Finding the Fourth Proportional to 24,197.30, 36,286.58 and 9,404.28

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Solution

The fourth proportional to 24,197.30, 36,286.58 and 9,404.28 is: 14,102.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,197.30 : 36,286.58 = 9,404.28 : x
  2. Step 2: Convert to fraction form
    24,197.30/36,286.58 = 9,404.28/x
  3. Step 3: Cross multiply
    24,197.30x = 36,286.58 × 9,404.28
  4. Step 4: Simplify right side
    24,197.30x = 341,249,158.56
  5. Step 5: Solve for x
    x = 341,249,158.56/24,197.30
  6. Step 6: Final answer
    x = 14,102.78

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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.