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Finding the Fourth Proportional to 15,658.38, 21,608.46 and 8,584.92

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Solution

The fourth proportional to 15,658.38, 21,608.46 and 8,584.92 is: 11,847.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,658.38 : 21,608.46 = 8,584.92 : x
  2. Step 2: Convert to fraction form
    15,658.38/21,608.46 = 8,584.92/x
  3. Step 3: Cross multiply
    15,658.38x = 21,608.46 × 8,584.92
  4. Step 4: Simplify right side
    15,658.38x = 185,506,900.42
  5. Step 5: Solve for x
    x = 185,506,900.42/15,658.38
  6. Step 6: Final answer
    x = 11,847.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.