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Finding the Fourth Proportional to 22,265.38, 30,728.94 and 13,312.78

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Solution

The fourth proportional to 22,265.38, 30,728.94 and 13,312.78 is: 18,373.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,265.38 : 30,728.94 = 13,312.78 : x
  2. Step 2: Convert to fraction form
    22,265.38/30,728.94 = 13,312.78/x
  3. Step 3: Cross multiply
    22,265.38x = 30,728.94 × 13,312.78
  4. Step 4: Simplify right side
    22,265.38x = 409,087,617.85
  5. Step 5: Solve for x
    x = 409,087,617.85/22,265.38
  6. Step 6: Final answer
    x = 18,373.26

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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.