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Finding the Fourth Proportional to 20,714.17, 31,048.90 and 10,171.93

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Solution

The fourth proportional to 20,714.17, 31,048.90 and 10,171.93 is: 15,246.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,714.17 : 31,048.90 = 10,171.93 : x
  2. Step 2: Convert to fraction form
    20,714.17/31,048.90 = 10,171.93/x
  3. Step 3: Cross multiply
    20,714.17x = 31,048.90 × 10,171.93
  4. Step 4: Simplify right side
    20,714.17x = 315,827,237.38
  5. Step 5: Solve for x
    x = 315,827,237.38/20,714.17
  6. Step 6: Final answer
    x = 15,246.92

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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.