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Finding the Fourth Proportional to 13,686.48, 18,886.14 and 8,020.56

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Solution

The fourth proportional to 13,686.48, 18,886.14 and 8,020.56 is: 11,067.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,686.48 : 18,886.14 = 8,020.56 : x
  2. Step 2: Convert to fraction form
    13,686.48/18,886.14 = 8,020.56/x
  3. Step 3: Cross multiply
    13,686.48x = 18,886.14 × 8,020.56
  4. Step 4: Simplify right side
    13,686.48x = 151,477,419.04
  5. Step 5: Solve for x
    x = 151,477,419.04/13,686.48
  6. Step 6: Final answer
    x = 11,067.67

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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.