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Finding the Fourth Proportional to 13,708.82, 18,917.64 and 7,659.38

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Solution

The fourth proportional to 13,708.82, 18,917.64 and 7,659.38 is: 10,569.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,708.82 : 18,917.64 = 7,659.38 : x
  2. Step 2: Convert to fraction form
    13,708.82/18,917.64 = 7,659.38/x
  3. Step 3: Cross multiply
    13,708.82x = 18,917.64 × 7,659.38
  4. Step 4: Simplify right side
    13,708.82x = 144,897,298.88
  5. Step 5: Solve for x
    x = 144,897,298.88/13,708.82
  6. Step 6: Final answer
    x = 10,569.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.