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Finding the Fourth Proportional to 25,714.67, 38,540.21 and 15,174

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Solution

The fourth proportional to 25,714.67, 38,540.21 and 15,174 is: 22,742.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,714.67 : 38,540.21 = 15,174 : x
  2. Step 2: Convert to fraction form
    25,714.67/38,540.21 = 15,174/x
  3. Step 3: Cross multiply
    25,714.67x = 38,540.21 × 15,174
  4. Step 4: Simplify right side
    25,714.67x = 584,809,070.67
  5. Step 5: Solve for x
    x = 584,809,070.67/25,714.67
  6. Step 6: Final answer
    x = 22,742.24

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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.