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Finding the Fourth Proportional to 13,872.22, 20,820.66 and 6,480.76

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Solution

The fourth proportional to 13,872.22, 20,820.66 and 6,480.76 is: 9,726.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,872.22 : 20,820.66 = 6,480.76 : x
  2. Step 2: Convert to fraction form
    13,872.22/20,820.66 = 6,480.76/x
  3. Step 3: Cross multiply
    13,872.22x = 20,820.66 × 6,480.76
  4. Step 4: Simplify right side
    13,872.22x = 134,933,700.50
  5. Step 5: Solve for x
    x = 134,933,700.50/13,872.22
  6. Step 6: Final answer
    x = 9,726.90

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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.