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Finding the Fourth Proportional to 22,375, 30,878.16 and 12,302.92

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Solution

The fourth proportional to 22,375, 30,878.16 and 12,302.92 is: 16,978.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,375 : 30,878.16 = 12,302.92 : x
  2. Step 2: Convert to fraction form
    22,375/30,878.16 = 12,302.92/x
  3. Step 3: Cross multiply
    22,375x = 30,878.16 × 12,302.92
  4. Step 4: Simplify right side
    22,375x = 379,891,532.23
  5. Step 5: Solve for x
    x = 379,891,532.23/22,375
  6. Step 6: Final answer
    x = 16,978.39

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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.