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Finding the Fourth Proportional to 16,542.74, 24,813.96 and 6,681.86

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Solution

The fourth proportional to 16,542.74, 24,813.96 and 6,681.86 is: 10,022.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,542.74 : 24,813.96 = 6,681.86 : x
  2. Step 2: Convert to fraction form
    16,542.74/24,813.96 = 6,681.86/x
  3. Step 3: Cross multiply
    16,542.74x = 24,813.96 × 6,681.86
  4. Step 4: Simplify right side
    16,542.74x = 165,803,406.77
  5. Step 5: Solve for x
    x = 165,803,406.77/16,542.74
  6. Step 6: Final answer
    x = 10,022.73

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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.