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Finding the Fourth Proportional to 24,738.40, 37,034.70 and 16,427.80

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Solution

The fourth proportional to 24,738.40, 37,034.70 and 16,427.80 is: 24,593.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,738.40 : 37,034.70 = 16,427.80 : x
  2. Step 2: Convert to fraction form
    24,738.40/37,034.70 = 16,427.80/x
  3. Step 3: Cross multiply
    24,738.40x = 37,034.70 × 16,427.80
  4. Step 4: Simplify right side
    24,738.40x = 608,398,644.66
  5. Step 5: Solve for x
    x = 608,398,644.66/24,738.40
  6. Step 6: Final answer
    x = 24,593.29

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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.