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Finding the Fourth Proportional to 16,658.68, 24,968.04 and 7,762

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Solution

The fourth proportional to 16,658.68, 24,968.04 and 7,762 is: 11,633.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,658.68 : 24,968.04 = 7,762 : x
  2. Step 2: Convert to fraction form
    16,658.68/24,968.04 = 7,762/x
  3. Step 3: Cross multiply
    16,658.68x = 24,968.04 × 7,762
  4. Step 4: Simplify right side
    16,658.68x = 193,801,926.48
  5. Step 5: Solve for x
    x = 193,801,926.48/16,658.68
  6. Step 6: Final answer
    x = 11,633.69

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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.