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Finding the Fourth Proportional to 24,728.80, 37,096.40 and 12,255.20

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Solution

The fourth proportional to 24,728.80, 37,096.40 and 12,255.20 is: 18,384.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,728.80 : 37,096.40 = 12,255.20 : x
  2. Step 2: Convert to fraction form
    24,728.80/37,096.40 = 12,255.20/x
  3. Step 3: Cross multiply
    24,728.80x = 37,096.40 × 12,255.20
  4. Step 4: Simplify right side
    24,728.80x = 454,623,801.28
  5. Step 5: Solve for x
    x = 454,623,801.28/24,728.80
  6. Step 6: Final answer
    x = 18,384.39

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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.