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Finding the Fourth Proportional to 13,002.72, 17,943.74 and 7,034.38

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Solution

The fourth proportional to 13,002.72, 17,943.74 and 7,034.38 is: 9,707.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,002.72 : 17,943.74 = 7,034.38 : x
  2. Step 2: Convert to fraction form
    13,002.72/17,943.74 = 7,034.38/x
  3. Step 3: Cross multiply
    13,002.72x = 17,943.74 × 7,034.38
  4. Step 4: Simplify right side
    13,002.72x = 126,223,005.75
  5. Step 5: Solve for x
    x = 126,223,005.75/13,002.72
  6. Step 6: Final answer
    x = 9,707.43

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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.