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Finding the Fourth Proportional to 20,712.17, 31,045.91 and 10,169.93

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Solution

The fourth proportional to 20,712.17, 31,045.91 and 10,169.93 is: 15,243.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,712.17 : 31,045.91 = 10,169.93 : x
  2. Step 2: Convert to fraction form
    20,712.17/31,045.91 = 10,169.93/x
  3. Step 3: Cross multiply
    20,712.17x = 31,045.91 × 10,169.93
  4. Step 4: Simplify right side
    20,712.17x = 315,734,525.41
  5. Step 5: Solve for x
    x = 315,734,525.41/20,712.17
  6. Step 6: Final answer
    x = 15,243.92

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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.