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Finding the Fourth Proportional to 13,708.14, 18,917.07 and 7,740.06

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Solution

The fourth proportional to 13,708.14, 18,917.07 and 7,740.06 is: 10,681.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,708.14 : 18,917.07 = 7,740.06 : x
  2. Step 2: Convert to fraction form
    13,708.14/18,917.07 = 7,740.06/x
  3. Step 3: Cross multiply
    13,708.14x = 18,917.07 × 7,740.06
  4. Step 4: Simplify right side
    13,708.14x = 146,419,237.47
  5. Step 5: Solve for x
    x = 146,419,237.47/13,708.14
  6. Step 6: Final answer
    x = 10,681.19

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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.