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Finding the Fourth Proportional to 16,586.42, 22,888.33 and 9,414.43

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Solution

The fourth proportional to 16,586.42, 22,888.33 and 9,414.43 is: 12,991.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,586.42 : 22,888.33 = 9,414.43 : x
  2. Step 2: Convert to fraction form
    16,586.42/22,888.33 = 9,414.43/x
  3. Step 3: Cross multiply
    16,586.42x = 22,888.33 × 9,414.43
  4. Step 4: Simplify right side
    16,586.42x = 215,480,499.85
  5. Step 5: Solve for x
    x = 215,480,499.85/16,586.42
  6. Step 6: Final answer
    x = 12,991.38

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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.