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Finding the Fourth Proportional to 24,814.60, 37,211.10 and 8,168.20

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Solution

The fourth proportional to 24,814.60, 37,211.10 and 8,168.20 is: 12,248.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,814.60 : 37,211.10 = 8,168.20 : x
  2. Step 2: Convert to fraction form
    24,814.60/37,211.10 = 8,168.20/x
  3. Step 3: Cross multiply
    24,814.60x = 37,211.10 × 8,168.20
  4. Step 4: Simplify right side
    24,814.60x = 303,947,707.02
  5. Step 5: Solve for x
    x = 303,947,707.02/24,814.60
  6. Step 6: Final answer
    x = 12,248.74

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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.