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Finding the Fourth Proportional to 22,162.38, 30,586.91 and 12,606

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Solution

The fourth proportional to 22,162.38, 30,586.91 and 12,606 is: 17,397.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,162.38 : 30,586.91 = 12,606 : x
  2. Step 2: Convert to fraction form
    22,162.38/30,586.91 = 12,606/x
  3. Step 3: Cross multiply
    22,162.38x = 30,586.91 × 12,606
  4. Step 4: Simplify right side
    22,162.38x = 385,578,587.46
  5. Step 5: Solve for x
    x = 385,578,587.46/22,162.38
  6. Step 6: Final answer
    x = 17,397.89

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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.