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Finding the Fourth Proportional to 16,077.60, 24,109.92 and 6,711.48

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Solution

The fourth proportional to 16,077.60, 24,109.92 and 6,711.48 is: 10,064.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,077.60 : 24,109.92 = 6,711.48 : x
  2. Step 2: Convert to fraction form
    16,077.60/24,109.92 = 6,711.48/x
  3. Step 3: Cross multiply
    16,077.60x = 24,109.92 × 6,711.48
  4. Step 4: Simplify right side
    16,077.60x = 161,813,245.88
  5. Step 5: Solve for x
    x = 161,813,245.88/16,077.60
  6. Step 6: Final answer
    x = 10,064.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.