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Finding the Fourth Proportional to 22,906.77, 34,354.77 and 12,915.83

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Solution

The fourth proportional to 22,906.77, 34,354.77 and 12,915.83 is: 19,370.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,906.77 : 34,354.77 = 12,915.83 : x
  2. Step 2: Convert to fraction form
    22,906.77/34,354.77 = 12,915.83/x
  3. Step 3: Cross multiply
    22,906.77x = 34,354.77 × 12,915.83
  4. Step 4: Simplify right side
    22,906.77x = 443,720,197.24
  5. Step 5: Solve for x
    x = 443,720,197.24/22,906.77
  6. Step 6: Final answer
    x = 19,370.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.