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Finding the Fourth Proportional to 16,658.74, 24,992.96 and 7,881.58

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Solution

The fourth proportional to 16,658.74, 24,992.96 and 7,881.58 is: 11,824.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,658.74 : 24,992.96 = 7,881.58 : x
  2. Step 2: Convert to fraction form
    16,658.74/24,992.96 = 7,881.58/x
  3. Step 3: Cross multiply
    16,658.74x = 24,992.96 × 7,881.58
  4. Step 4: Simplify right side
    16,658.74x = 196,984,013.68
  5. Step 5: Solve for x
    x = 196,984,013.68/16,658.74
  6. Step 6: Final answer
    x = 11,824.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.