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Finding the Fourth Proportional to 16,542.74, 24,804.13 and 6,670.52

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Solution

The fourth proportional to 16,542.74, 24,804.13 and 6,670.52 is: 10,001.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,542.74 : 24,804.13 = 6,670.52 : x
  2. Step 2: Convert to fraction form
    16,542.74/24,804.13 = 6,670.52/x
  3. Step 3: Cross multiply
    16,542.74x = 24,804.13 × 6,670.52
  4. Step 4: Simplify right side
    16,542.74x = 165,456,287.87
  5. Step 5: Solve for x
    x = 165,456,287.87/16,542.74
  6. Step 6: Final answer
    x = 10,001.75

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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.