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Finding the Fourth Proportional to 23,194.92, 32,008.74 and 13,123.20

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Solution

The fourth proportional to 23,194.92, 32,008.74 and 13,123.20 is: 18,109.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,194.92 : 32,008.74 = 13,123.20 : x
  2. Step 2: Convert to fraction form
    23,194.92/32,008.74 = 13,123.20/x
  3. Step 3: Cross multiply
    23,194.92x = 32,008.74 × 13,123.20
  4. Step 4: Simplify right side
    23,194.92x = 420,057,096.77
  5. Step 5: Solve for x
    x = 420,057,096.77/23,194.92
  6. Step 6: Final answer
    x = 18,109.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.