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Finding the Fourth Proportional to 20,802.80, 31,204.20 and 20,584.10

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Solution

The fourth proportional to 20,802.80, 31,204.20 and 20,584.10 is: 30,876.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,802.80 : 31,204.20 = 20,584.10 : x
  2. Step 2: Convert to fraction form
    20,802.80/31,204.20 = 20,584.10/x
  3. Step 3: Cross multiply
    20,802.80x = 31,204.20 × 20,584.10
  4. Step 4: Simplify right side
    20,802.80x = 642,310,373.22
  5. Step 5: Solve for x
    x = 642,310,373.22/20,802.80
  6. Step 6: Final answer
    x = 30,876.15

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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.