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Finding the Fourth Proportional to 16,002.14, 24,001.38 and 7,566.73

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Solution

The fourth proportional to 16,002.14, 24,001.38 and 7,566.73 is: 11,349.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,002.14 : 24,001.38 = 7,566.73 : x
  2. Step 2: Convert to fraction form
    16,002.14/24,001.38 = 7,566.73/x
  3. Step 3: Cross multiply
    16,002.14x = 24,001.38 × 7,566.73
  4. Step 4: Simplify right side
    16,002.14x = 181,611,902.08
  5. Step 5: Solve for x
    x = 181,611,902.08/16,002.14
  6. Step 6: Final answer
    x = 11,349.23

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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.