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Finding the Fourth Proportional to 22,514.92, 31,045.22 and 18,315.24

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Solution

The fourth proportional to 22,514.92, 31,045.22 and 18,315.24 is: 25,254.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,514.92 : 31,045.22 = 18,315.24 : x
  2. Step 2: Convert to fraction form
    22,514.92/31,045.22 = 18,315.24/x
  3. Step 3: Cross multiply
    22,514.92x = 31,045.22 × 18,315.24
  4. Step 4: Simplify right side
    22,514.92x = 568,600,655.15
  5. Step 5: Solve for x
    x = 568,600,655.15/22,514.92
  6. Step 6: Final answer
    x = 25,254.39

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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.