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Finding the Fourth Proportional to 22,017.88, 30,384.89 and 12,586.38

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Solution

The fourth proportional to 22,017.88, 30,384.89 and 12,586.38 is: 17,369.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,017.88 : 30,384.89 = 12,586.38 : x
  2. Step 2: Convert to fraction form
    22,017.88/30,384.89 = 12,586.38/x
  3. Step 3: Cross multiply
    22,017.88x = 30,384.89 × 12,586.38
  4. Step 4: Simplify right side
    22,017.88x = 382,435,771.80
  5. Step 5: Solve for x
    x = 382,435,771.80/22,017.88
  6. Step 6: Final answer
    x = 17,369.33

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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.