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Finding the Fourth Proportional to 15,207.20, 22,810.80 and 13,824.80

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Solution

The fourth proportional to 15,207.20, 22,810.80 and 13,824.80 is: 20,737.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,207.20 : 22,810.80 = 13,824.80 : x
  2. Step 2: Convert to fraction form
    15,207.20/22,810.80 = 13,824.80/x
  3. Step 3: Cross multiply
    15,207.20x = 22,810.80 × 13,824.80
  4. Step 4: Simplify right side
    15,207.20x = 315,354,747.84
  5. Step 5: Solve for x
    x = 315,354,747.84/15,207.20
  6. Step 6: Final answer
    x = 20,737.20

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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.