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Finding the Fourth Proportional to 20,726.76, 31,080.50 and 6,684.16

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Solution

The fourth proportional to 20,726.76, 31,080.50 and 6,684.16 is: 10,023.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,726.76 : 31,080.50 = 6,684.16 : x
  2. Step 2: Convert to fraction form
    20,726.76/31,080.50 = 6,684.16/x
  3. Step 3: Cross multiply
    20,726.76x = 31,080.50 × 6,684.16
  4. Step 4: Simplify right side
    20,726.76x = 207,747,034.88
  5. Step 5: Solve for x
    x = 207,747,034.88/20,726.76
  6. Step 6: Final answer
    x = 10,023.13

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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.