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Finding the Fourth Proportional to 23,200.60, 32,014.69 and 13,127.41

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Solution

The fourth proportional to 23,200.60, 32,014.69 and 13,127.41 is: 18,114.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,200.60 : 32,014.69 = 13,127.41 : x
  2. Step 2: Convert to fraction form
    23,200.60/32,014.69 = 13,127.41/x
  3. Step 3: Cross multiply
    23,200.60x = 32,014.69 × 13,127.41
  4. Step 4: Simplify right side
    23,200.60x = 420,269,978.65
  5. Step 5: Solve for x
    x = 420,269,978.65/23,200.60
  6. Step 6: Final answer
    x = 18,114.62

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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.