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Finding the Fourth Proportional to 16,038.39, 24,057.62 and 6,182.31

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Solution

The fourth proportional to 16,038.39, 24,057.62 and 6,182.31 is: 9,273.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,038.39 : 24,057.62 = 6,182.31 : x
  2. Step 2: Convert to fraction form
    16,038.39/24,057.62 = 6,182.31/x
  3. Step 3: Cross multiply
    16,038.39x = 24,057.62 × 6,182.31
  4. Step 4: Simplify right side
    16,038.39x = 148,731,664.70
  5. Step 5: Solve for x
    x = 148,731,664.70/16,038.39
  6. Step 6: Final answer
    x = 9,273.48

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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.