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Finding the Fourth Proportional to 27,323.20, 40,984.80 and 9,812.80

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Solution

The fourth proportional to 27,323.20, 40,984.80 and 9,812.80 is: 14,719.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,323.20 : 40,984.80 = 9,812.80 : x
  2. Step 2: Convert to fraction form
    27,323.20/40,984.80 = 9,812.80/x
  3. Step 3: Cross multiply
    27,323.20x = 40,984.80 × 9,812.80
  4. Step 4: Simplify right side
    27,323.20x = 402,175,645.44
  5. Step 5: Solve for x
    x = 402,175,645.44/27,323.20
  6. Step 6: Final answer
    x = 14,719.20

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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.