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Finding the Fourth Proportional to 23,224.46, 32,050 and 12,614.30

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Solution

The fourth proportional to 23,224.46, 32,050 and 12,614.30 is: 17,407.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,224.46 : 32,050 = 12,614.30 : x
  2. Step 2: Convert to fraction form
    23,224.46/32,050 = 12,614.30/x
  3. Step 3: Cross multiply
    23,224.46x = 32,050 × 12,614.30
  4. Step 4: Simplify right side
    23,224.46x = 404,288,315
  5. Step 5: Solve for x
    x = 404,288,315/23,224.46
  6. Step 6: Final answer
    x = 17,407.87

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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.