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Finding the Fourth Proportional to 22,213.92, 30,656.13 and 12,782.52

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Solution

The fourth proportional to 22,213.92, 30,656.13 and 12,782.52 is: 17,640.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,213.92 : 30,656.13 = 12,782.52 : x
  2. Step 2: Convert to fraction form
    22,213.92/30,656.13 = 12,782.52/x
  3. Step 3: Cross multiply
    22,213.92x = 30,656.13 × 12,782.52
  4. Step 4: Simplify right side
    22,213.92x = 391,862,594.85
  5. Step 5: Solve for x
    x = 391,862,594.85/22,213.92
  6. Step 6: Final answer
    x = 17,640.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.