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Finding the Fourth Proportional to 13,077.68, 18,049.80 and 7,771.44

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Solution

The fourth proportional to 13,077.68, 18,049.80 and 7,771.44 is: 10,726.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,077.68 : 18,049.80 = 7,771.44 : x
  2. Step 2: Convert to fraction form
    13,077.68/18,049.80 = 7,771.44/x
  3. Step 3: Cross multiply
    13,077.68x = 18,049.80 × 7,771.44
  4. Step 4: Simplify right side
    13,077.68x = 140,272,937.71
  5. Step 5: Solve for x
    x = 140,272,937.71/13,077.68
  6. Step 6: Final answer
    x = 10,726.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.