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Finding the Fourth Proportional to 16,001.76, 24,011.26 and 7,793.76

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Solution

The fourth proportional to 16,001.76, 24,011.26 and 7,793.76 is: 11,694.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,001.76 : 24,011.26 = 7,793.76 : x
  2. Step 2: Convert to fraction form
    16,001.76/24,011.26 = 7,793.76/x
  3. Step 3: Cross multiply
    16,001.76x = 24,011.26 × 7,793.76
  4. Step 4: Simplify right side
    16,001.76x = 187,137,997.74
  5. Step 5: Solve for x
    x = 187,137,997.74/16,001.76
  6. Step 6: Final answer
    x = 11,694.84

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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.