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Finding the Fourth Proportional to 13,510.50, 20,252.07 and 6,480.18

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Solution

The fourth proportional to 13,510.50, 20,252.07 and 6,480.18 is: 9,713.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,510.50 : 20,252.07 = 6,480.18 : x
  2. Step 2: Convert to fraction form
    13,510.50/20,252.07 = 6,480.18/x
  3. Step 3: Cross multiply
    13,510.50x = 20,252.07 × 6,480.18
  4. Step 4: Simplify right side
    13,510.50x = 131,237,058.97
  5. Step 5: Solve for x
    x = 131,237,058.97/13,510.50
  6. Step 6: Final answer
    x = 9,713.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.