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Finding the Fourth Proportional to 22,288.80, 30,757.24 and 12,215.24

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Solution

The fourth proportional to 22,288.80, 30,757.24 and 12,215.24 is: 16,856.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,288.80 : 30,757.24 = 12,215.24 : x
  2. Step 2: Convert to fraction form
    22,288.80/30,757.24 = 12,215.24/x
  3. Step 3: Cross multiply
    22,288.80x = 30,757.24 × 12,215.24
  4. Step 4: Simplify right side
    22,288.80x = 375,707,068.34
  5. Step 5: Solve for x
    x = 375,707,068.34/22,288.80
  6. Step 6: Final answer
    x = 16,856.32

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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.