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Finding the Fourth Proportional to 13,708.08, 18,917.49 and 7,739.84

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Solution

The fourth proportional to 13,708.08, 18,917.49 and 7,739.84 is: 10,681.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,708.08 : 18,917.49 = 7,739.84 : x
  2. Step 2: Convert to fraction form
    13,708.08/18,917.49 = 7,739.84/x
  3. Step 3: Cross multiply
    13,708.08x = 18,917.49 × 7,739.84
  4. Step 4: Simplify right side
    13,708.08x = 146,418,251.21
  5. Step 5: Solve for x
    x = 146,418,251.21/13,708.08
  6. Step 6: Final answer
    x = 10,681.16

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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.