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Finding the Fourth Proportional to 22,292.16, 30,763.42 and 12,220.38

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Solution

The fourth proportional to 22,292.16, 30,763.42 and 12,220.38 is: 16,864.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,292.16 : 30,763.42 = 12,220.38 : x
  2. Step 2: Convert to fraction form
    22,292.16/30,763.42 = 12,220.38/x
  3. Step 3: Cross multiply
    22,292.16x = 30,763.42 × 12,220.38
  4. Step 4: Simplify right side
    22,292.16x = 375,940,682.50
  5. Step 5: Solve for x
    x = 375,940,682.50/22,292.16
  6. Step 6: Final answer
    x = 16,864.26

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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.