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Finding the Fourth Proportional to 13,510.50, 20,247.81 and 7,184.04

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Solution

The fourth proportional to 13,510.50, 20,247.81 and 7,184.04 is: 10,766.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,510.50 : 20,247.81 = 7,184.04 : x
  2. Step 2: Convert to fraction form
    13,510.50/20,247.81 = 7,184.04/x
  3. Step 3: Cross multiply
    13,510.50x = 20,247.81 × 7,184.04
  4. Step 4: Simplify right side
    13,510.50x = 145,461,076.95
  5. Step 5: Solve for x
    x = 145,461,076.95/13,510.50
  6. Step 6: Final answer
    x = 10,766.52

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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.