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Finding the Fourth Proportional to 13,102.50, 18,081.42 and 7,134.21

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Solution

The fourth proportional to 13,102.50, 18,081.42 and 7,134.21 is: 9,845.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,102.50 : 18,081.42 = 7,134.21 : x
  2. Step 2: Convert to fraction form
    13,102.50/18,081.42 = 7,134.21/x
  3. Step 3: Cross multiply
    13,102.50x = 18,081.42 × 7,134.21
  4. Step 4: Simplify right side
    13,102.50x = 128,996,647.38
  5. Step 5: Solve for x
    x = 128,996,647.38/13,102.50
  6. Step 6: Final answer
    x = 9,845.19

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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.