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Finding the Fourth Proportional to 24,416.76, 36,610.74 and 8,614.20

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Solution

The fourth proportional to 24,416.76, 36,610.74 and 8,614.20 is: 12,916.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,416.76 : 36,610.74 = 8,614.20 : x
  2. Step 2: Convert to fraction form
    24,416.76/36,610.74 = 8,614.20/x
  3. Step 3: Cross multiply
    24,416.76x = 36,610.74 × 8,614.20
  4. Step 4: Simplify right side
    24,416.76x = 315,372,236.51
  5. Step 5: Solve for x
    x = 315,372,236.51/24,416.76
  6. Step 6: Final answer
    x = 12,916.22

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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.