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Finding the Fourth Proportional to 24,739.76, 34,125.90 and 14,665

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Solution

The fourth proportional to 24,739.76, 34,125.90 and 14,665 is: 20,228.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,739.76 : 34,125.90 = 14,665 : x
  2. Step 2: Convert to fraction form
    24,739.76/34,125.90 = 14,665/x
  3. Step 3: Cross multiply
    24,739.76x = 34,125.90 × 14,665
  4. Step 4: Simplify right side
    24,739.76x = 500,456,323.50
  5. Step 5: Solve for x
    x = 500,456,323.50/24,739.76
  6. Step 6: Final answer
    x = 20,228.83

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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.