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Finding the Fourth Proportional to 20,714.24, 31,061.78 and 6,671.66

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Solution

The fourth proportional to 20,714.24, 31,061.78 and 6,671.66 is: 10,004.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,714.24 : 31,061.78 = 6,671.66 : x
  2. Step 2: Convert to fraction form
    20,714.24/31,061.78 = 6,671.66/x
  3. Step 3: Cross multiply
    20,714.24x = 31,061.78 × 6,671.66
  4. Step 4: Simplify right side
    20,714.24x = 207,233,635.15
  5. Step 5: Solve for x
    x = 207,233,635.15/20,714.24
  6. Step 6: Final answer
    x = 10,004.40

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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.