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Finding the Fourth Proportional to 25,514.22, 38,272.05 and 7,046.22

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Solution

The fourth proportional to 25,514.22, 38,272.05 and 7,046.22 is: 10,569.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,514.22 : 38,272.05 = 7,046.22 : x
  2. Step 2: Convert to fraction form
    25,514.22/38,272.05 = 7,046.22/x
  3. Step 3: Cross multiply
    25,514.22x = 38,272.05 × 7,046.22
  4. Step 4: Simplify right side
    25,514.22x = 269,673,284.15
  5. Step 5: Solve for x
    x = 269,673,284.15/25,514.22
  6. Step 6: Final answer
    x = 10,569.53

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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.