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Finding the Fourth Proportional to 13,510.20, 20,255.70 and 6,118.20

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Solution

The fourth proportional to 13,510.20, 20,255.70 and 6,118.20 is: 9,172.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,510.20 : 20,255.70 = 6,118.20 : x
  2. Step 2: Convert to fraction form
    13,510.20/20,255.70 = 6,118.20/x
  3. Step 3: Cross multiply
    13,510.20x = 20,255.70 × 6,118.20
  4. Step 4: Simplify right side
    13,510.20x = 123,928,423.74
  5. Step 5: Solve for x
    x = 123,928,423.74/13,510.20
  6. Step 6: Final answer
    x = 9,172.95

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