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Finding the Fourth Proportional to 22,296, 30,774.18 and 15,137.90

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Solution

The fourth proportional to 22,296, 30,774.18 and 15,137.90 is: 20,894.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,296 : 30,774.18 = 15,137.90 : x
  2. Step 2: Convert to fraction form
    22,296/30,774.18 = 15,137.90/x
  3. Step 3: Cross multiply
    22,296x = 30,774.18 × 15,137.90
  4. Step 4: Simplify right side
    22,296x = 465,856,459.42
  5. Step 5: Solve for x
    x = 465,856,459.42/22,296
  6. Step 6: Final answer
    x = 20,894.17

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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.