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Finding the Fourth Proportional to 16,007.31, 24,014.52 and 6,146.61

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Solution

The fourth proportional to 16,007.31, 24,014.52 and 6,146.61 is: 9,221.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,007.31 : 24,014.52 = 6,146.61 : x
  2. Step 2: Convert to fraction form
    16,007.31/24,014.52 = 6,146.61/x
  3. Step 3: Cross multiply
    16,007.31x = 24,014.52 × 6,146.61
  4. Step 4: Simplify right side
    16,007.31x = 147,607,888.78
  5. Step 5: Solve for x
    x = 147,607,888.78/16,007.31
  6. Step 6: Final answer
    x = 9,221.28

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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.