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Finding the Fourth Proportional to 24,211.28, 36,309.90 and 9,416.90

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Solution

The fourth proportional to 24,211.28, 36,309.90 and 9,416.90 is: 14,122.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,211.28 : 36,309.90 = 9,416.90 : x
  2. Step 2: Convert to fraction form
    24,211.28/36,309.90 = 9,416.90/x
  3. Step 3: Cross multiply
    24,211.28x = 36,309.90 × 9,416.90
  4. Step 4: Simplify right side
    24,211.28x = 341,926,697.31
  5. Step 5: Solve for x
    x = 341,926,697.31/24,211.28
  6. Step 6: Final answer
    x = 14,122.62

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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.