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Finding the Fourth Proportional to 13,708.82, 18,918.69 and 7,741.15

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Solution

The fourth proportional to 13,708.82, 18,918.69 and 7,741.15 is: 10,683.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,708.82 : 18,918.69 = 7,741.15 : x
  2. Step 2: Convert to fraction form
    13,708.82/18,918.69 = 7,741.15/x
  3. Step 3: Cross multiply
    13,708.82x = 18,918.69 × 7,741.15
  4. Step 4: Simplify right side
    13,708.82x = 146,452,417.09
  5. Step 5: Solve for x
    x = 146,452,417.09/13,708.82
  6. Step 6: Final answer
    x = 10,683.08

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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.