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Finding the Fourth Proportional to 24,821.46, 37,224.29 and 8,178.39

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Solution

The fourth proportional to 24,821.46, 37,224.29 and 8,178.39 is: 12,264.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,821.46 : 37,224.29 = 8,178.39 : x
  2. Step 2: Convert to fraction form
    24,821.46/37,224.29 = 8,178.39/x
  3. Step 3: Cross multiply
    24,821.46x = 37,224.29 × 8,178.39
  4. Step 4: Simplify right side
    24,821.46x = 304,434,781.54
  5. Step 5: Solve for x
    x = 304,434,781.54/24,821.46
  6. Step 6: Final answer
    x = 12,264.98

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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.