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Finding the Fourth Proportional to 24,815.40, 37,223.10 and 9,229.80

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Solution

The fourth proportional to 24,815.40, 37,223.10 and 9,229.80 is: 13,844.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,815.40 : 37,223.10 = 9,229.80 : x
  2. Step 2: Convert to fraction form
    24,815.40/37,223.10 = 9,229.80/x
  3. Step 3: Cross multiply
    24,815.40x = 37,223.10 × 9,229.80
  4. Step 4: Simplify right side
    24,815.40x = 343,561,768.38
  5. Step 5: Solve for x
    x = 343,561,768.38/24,815.40
  6. Step 6: Final answer
    x = 13,844.70

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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.