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Finding the Fourth Proportional to 13,873.91, 20,810.86 and 6,077.25

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Solution

The fourth proportional to 13,873.91, 20,810.86 and 6,077.25 is: 9,115.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,873.91 : 20,810.86 = 6,077.25 : x
  2. Step 2: Convert to fraction form
    13,873.91/20,810.86 = 6,077.25/x
  3. Step 3: Cross multiply
    13,873.91x = 20,810.86 × 6,077.25
  4. Step 4: Simplify right side
    13,873.91x = 126,472,783.74
  5. Step 5: Solve for x
    x = 126,472,783.74/13,873.91
  6. Step 6: Final answer
    x = 9,115.88

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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.