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Finding the Fourth Proportional to 25,649.83, 38,514.13 and 22,864.83

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Solution

The fourth proportional to 25,649.83, 38,514.13 and 22,864.83 is: 34,332.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,649.83 : 38,514.13 = 22,864.83 : x
  2. Step 2: Convert to fraction form
    25,649.83/38,514.13 = 22,864.83/x
  3. Step 3: Cross multiply
    25,649.83x = 38,514.13 × 22,864.83
  4. Step 4: Simplify right side
    25,649.83x = 880,619,178.71
  5. Step 5: Solve for x
    x = 880,619,178.71/25,649.83
  6. Step 6: Final answer
    x = 34,332.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.