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Finding the Fourth Proportional to 13,102.38, 18,081.72 and 7,133.76

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Solution

The fourth proportional to 13,102.38, 18,081.72 and 7,133.76 is: 9,844.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,102.38 : 18,081.72 = 7,133.76 : x
  2. Step 2: Convert to fraction form
    13,102.38/18,081.72 = 7,133.76/x
  3. Step 3: Cross multiply
    13,102.38x = 18,081.72 × 7,133.76
  4. Step 4: Simplify right side
    13,102.38x = 128,990,650.87
  5. Step 5: Solve for x
    x = 128,990,650.87/13,102.38
  6. Step 6: Final answer
    x = 9,844.83

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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.