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Finding the Fourth Proportional to 24,801.80, 37,202.70 and 8,385.80

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Solution

The fourth proportional to 24,801.80, 37,202.70 and 8,385.80 is: 12,578.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,801.80 : 37,202.70 = 8,385.80 : x
  2. Step 2: Convert to fraction form
    24,801.80/37,202.70 = 8,385.80/x
  3. Step 3: Cross multiply
    24,801.80x = 37,202.70 × 8,385.80
  4. Step 4: Simplify right side
    24,801.80x = 311,974,401.66
  5. Step 5: Solve for x
    x = 311,974,401.66/24,801.80
  6. Step 6: Final answer
    x = 12,578.70

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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.