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Finding the Fourth Proportional to 23,000.40, 31,740.12 and 14,500.80

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Solution

The fourth proportional to 23,000.40, 31,740.12 and 14,500.80 is: 20,010.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,000.40 : 31,740.12 = 14,500.80 : x
  2. Step 2: Convert to fraction form
    23,000.40/31,740.12 = 14,500.80/x
  3. Step 3: Cross multiply
    23,000.40x = 31,740.12 × 14,500.80
  4. Step 4: Simplify right side
    23,000.40x = 460,257,132.10
  5. Step 5: Solve for x
    x = 460,257,132.10/23,000.40
  6. Step 6: Final answer
    x = 20,010.83

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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.