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Finding the Fourth Proportional to 13,083.76, 18,057.22 and 7,494.76

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Solution

The fourth proportional to 13,083.76, 18,057.22 and 7,494.76 is: 10,343.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,083.76 : 18,057.22 = 7,494.76 : x
  2. Step 2: Convert to fraction form
    13,083.76/18,057.22 = 7,494.76/x
  3. Step 3: Cross multiply
    13,083.76x = 18,057.22 × 7,494.76
  4. Step 4: Simplify right side
    13,083.76x = 135,334,530.17
  5. Step 5: Solve for x
    x = 135,334,530.17/13,083.76
  6. Step 6: Final answer
    x = 10,343.70

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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.