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Finding the Fourth Proportional to 22,338, 30,826.44 and 12,402

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Solution

The fourth proportional to 22,338, 30,826.44 and 12,402 is: 17,114.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,338 : 30,826.44 = 12,402 : x
  2. Step 2: Convert to fraction form
    22,338/30,826.44 = 12,402/x
  3. Step 3: Cross multiply
    22,338x = 30,826.44 × 12,402
  4. Step 4: Simplify right side
    22,338x = 382,309,508.88
  5. Step 5: Solve for x
    x = 382,309,508.88/22,338
  6. Step 6: Final answer
    x = 17,114.76

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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.