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Finding the Fourth Proportional to 18,496.40, 27,766.20 and 10,605.20

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Solution

The fourth proportional to 18,496.40, 27,766.20 and 10,605.20 is: 15,920.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,496.40 : 27,766.20 = 10,605.20 : x
  2. Step 2: Convert to fraction form
    18,496.40/27,766.20 = 10,605.20/x
  3. Step 3: Cross multiply
    18,496.40x = 27,766.20 × 10,605.20
  4. Step 4: Simplify right side
    18,496.40x = 294,466,104.24
  5. Step 5: Solve for x
    x = 294,466,104.24/18,496.40
  6. Step 6: Final answer
    x = 15,920.18

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1.5x scale

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.