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Finding the Fourth Proportional to 13,707.39, 18,915.14 and 7,739.66

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Solution

The fourth proportional to 13,707.39, 18,915.14 and 7,739.66 is: 10,680.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,707.39 : 18,915.14 = 7,739.66 : x
  2. Step 2: Convert to fraction form
    13,707.39/18,915.14 = 7,739.66/x
  3. Step 3: Cross multiply
    13,707.39x = 18,915.14 × 7,739.66
  4. Step 4: Simplify right side
    13,707.39x = 146,396,619.18
  5. Step 5: Solve for x
    x = 146,396,619.18/13,707.39
  6. Step 6: Final answer
    x = 10,680.12

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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.