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Finding the Fourth Proportional to 22,802.26, 34,208.52 and 8,012.20

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Solution

The fourth proportional to 22,802.26, 34,208.52 and 8,012.20 is: 12,020.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,802.26 : 34,208.52 = 8,012.20 : x
  2. Step 2: Convert to fraction form
    22,802.26/34,208.52 = 8,012.20/x
  3. Step 3: Cross multiply
    22,802.26x = 34,208.52 × 8,012.20
  4. Step 4: Simplify right side
    22,802.26x = 274,085,503.94
  5. Step 5: Solve for x
    x = 274,085,503.94/22,802.26
  6. Step 6: Final answer
    x = 12,020.10

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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.