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Finding the Fourth Proportional to 16,542.66, 24,809.94 and 6,679.02

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Solution

The fourth proportional to 16,542.66, 24,809.94 and 6,679.02 is: 10,016.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,542.66 : 24,809.94 = 6,679.02 : x
  2. Step 2: Convert to fraction form
    16,542.66/24,809.94 = 6,679.02/x
  3. Step 3: Cross multiply
    16,542.66x = 24,809.94 × 6,679.02
  4. Step 4: Simplify right side
    16,542.66x = 165,706,085.46
  5. Step 5: Solve for x
    x = 165,706,085.46/16,542.66
  6. Step 6: Final answer
    x = 10,016.89

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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.