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Finding the Fourth Proportional to 22,013.20, 32,971.20 and 8,858.80

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Solution

The fourth proportional to 22,013.20, 32,971.20 and 8,858.80 is: 13,268.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,013.20 : 32,971.20 = 8,858.80 : x
  2. Step 2: Convert to fraction form
    22,013.20/32,971.20 = 8,858.80/x
  3. Step 3: Cross multiply
    22,013.20x = 32,971.20 × 8,858.80
  4. Step 4: Simplify right side
    22,013.20x = 292,085,266.56
  5. Step 5: Solve for x
    x = 292,085,266.56/22,013.20
  6. Step 6: Final answer
    x = 13,268.64

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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.