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Finding the Fourth Proportional to 16,102.67, 24,144.53 and 7,332.80

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Solution

The fourth proportional to 16,102.67, 24,144.53 and 7,332.80 is: 10,994.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,102.67 : 24,144.53 = 7,332.80 : x
  2. Step 2: Convert to fraction form
    16,102.67/24,144.53 = 7,332.80/x
  3. Step 3: Cross multiply
    16,102.67x = 24,144.53 × 7,332.80
  4. Step 4: Simplify right side
    16,102.67x = 177,046,852.20
  5. Step 5: Solve for x
    x = 177,046,852.20/16,102.67
  6. Step 6: Final answer
    x = 10,994.88

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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.