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Finding the Fourth Proportional to 13,138.76, 18,131.54 and 7,170.56

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Solution

The fourth proportional to 13,138.76, 18,131.54 and 7,170.56 is: 9,895.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,138.76 : 18,131.54 = 7,170.56 : x
  2. Step 2: Convert to fraction form
    13,138.76/18,131.54 = 7,170.56/x
  3. Step 3: Cross multiply
    13,138.76x = 18,131.54 × 7,170.56
  4. Step 4: Simplify right side
    13,138.76x = 130,013,358.72
  5. Step 5: Solve for x
    x = 130,013,358.72/13,138.76
  6. Step 6: Final answer
    x = 9,895.40

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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.