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Finding the Fourth Proportional to 22,358, 30,854.16 and 12,422

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Solution

The fourth proportional to 22,358, 30,854.16 and 12,422 is: 17,142.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,358 : 30,854.16 = 12,422 : x
  2. Step 2: Convert to fraction form
    22,358/30,854.16 = 12,422/x
  3. Step 3: Cross multiply
    22,358x = 30,854.16 × 12,422
  4. Step 4: Simplify right side
    22,358x = 383,270,375.52
  5. Step 5: Solve for x
    x = 383,270,375.52/22,358
  6. Step 6: Final answer
    x = 17,142.43

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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.