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Finding the Fourth Proportional to 28,222.80, 42,301.80 and 11,574.60

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Solution

The fourth proportional to 28,222.80, 42,301.80 and 11,574.60 is: 17,348.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,222.80 : 42,301.80 = 11,574.60 : x
  2. Step 2: Convert to fraction form
    28,222.80/42,301.80 = 11,574.60/x
  3. Step 3: Cross multiply
    28,222.80x = 42,301.80 × 11,574.60
  4. Step 4: Simplify right side
    28,222.80x = 489,626,414.28
  5. Step 5: Solve for x
    x = 489,626,414.28/28,222.80
  6. Step 6: Final answer
    x = 17,348.61

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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.