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Finding the Fourth Proportional to 13,407.74, 18,502.66 and 8,101.56

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Solution

The fourth proportional to 13,407.74, 18,502.66 and 8,101.56 is: 11,180.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,407.74 : 18,502.66 = 8,101.56 : x
  2. Step 2: Convert to fraction form
    13,407.74/18,502.66 = 8,101.56/x
  3. Step 3: Cross multiply
    13,407.74x = 18,502.66 × 8,101.56
  4. Step 4: Simplify right side
    13,407.74x = 149,900,410.15
  5. Step 5: Solve for x
    x = 149,900,410.15/13,407.74
  6. Step 6: Final answer
    x = 11,180.14

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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.