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Finding the Fourth Proportional to 13,773.88, 20,635.26 and 10,077.76

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Solution

The fourth proportional to 13,773.88, 20,635.26 and 10,077.76 is: 15,097.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,773.88 : 20,635.26 = 10,077.76 : x
  2. Step 2: Convert to fraction form
    13,773.88/20,635.26 = 10,077.76/x
  3. Step 3: Cross multiply
    13,773.88x = 20,635.26 × 10,077.76
  4. Step 4: Simplify right side
    13,773.88x = 207,957,197.82
  5. Step 5: Solve for x
    x = 207,957,197.82/13,773.88
  6. Step 6: Final answer
    x = 15,097.94

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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.