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Finding the Fourth Proportional to 16,001.68, 24,005.62 and 6,140.19

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Solution

The fourth proportional to 16,001.68, 24,005.62 and 6,140.19 is: 9,211.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,001.68 : 24,005.62 = 6,140.19 : x
  2. Step 2: Convert to fraction form
    16,001.68/24,005.62 = 6,140.19/x
  3. Step 3: Cross multiply
    16,001.68x = 24,005.62 × 6,140.19
  4. Step 4: Simplify right side
    16,001.68x = 147,399,067.87
  5. Step 5: Solve for x
    x = 147,399,067.87/16,001.68
  6. Step 6: Final answer
    x = 9,211.47

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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.