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Finding the Fourth Proportional to 22,818.24, 31,489.22 and 12,882.24

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Solution

The fourth proportional to 22,818.24, 31,489.22 and 12,882.24 is: 17,777.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,818.24 : 31,489.22 = 12,882.24 : x
  2. Step 2: Convert to fraction form
    22,818.24/31,489.22 = 12,882.24/x
  3. Step 3: Cross multiply
    22,818.24x = 31,489.22 × 12,882.24
  4. Step 4: Simplify right side
    22,818.24x = 405,651,689.45
  5. Step 5: Solve for x
    x = 405,651,689.45/22,818.24
  6. Step 6: Final answer
    x = 17,777.52

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1.5x scale

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.