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Finding the Fourth Proportional to 13,440.14, 18,538.79 and 8,666.20

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Solution

The fourth proportional to 13,440.14, 18,538.79 and 8,666.20 is: 11,953.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,440.14 : 18,538.79 = 8,666.20 : x
  2. Step 2: Convert to fraction form
    13,440.14/18,538.79 = 8,666.20/x
  3. Step 3: Cross multiply
    13,440.14x = 18,538.79 × 8,666.20
  4. Step 4: Simplify right side
    13,440.14x = 160,660,837.22
  5. Step 5: Solve for x
    x = 160,660,837.22/13,440.14
  6. Step 6: Final answer
    x = 11,953.81

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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.