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Finding the Fourth Proportional to 13,002.50, 17,943.72 and 7,695.38

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Solution

The fourth proportional to 13,002.50, 17,943.72 and 7,695.38 is: 10,619.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,002.50 : 17,943.72 = 7,695.38 : x
  2. Step 2: Convert to fraction form
    13,002.50/17,943.72 = 7,695.38/x
  3. Step 3: Cross multiply
    13,002.50x = 17,943.72 × 7,695.38
  4. Step 4: Simplify right side
    13,002.50x = 138,083,744.01
  5. Step 5: Solve for x
    x = 138,083,744.01/13,002.50
  6. Step 6: Final answer
    x = 10,619.78

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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.