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Finding the Fourth Proportional to 24,062.78, 36,093.36 and 8,480

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Solution

The fourth proportional to 24,062.78, 36,093.36 and 8,480 is: 12,719.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,062.78 : 36,093.36 = 8,480 : x
  2. Step 2: Convert to fraction form
    24,062.78/36,093.36 = 8,480/x
  3. Step 3: Cross multiply
    24,062.78x = 36,093.36 × 8,480
  4. Step 4: Simplify right side
    24,062.78x = 306,071,692.80
  5. Step 5: Solve for x
    x = 306,071,692.80/24,062.78
  6. Step 6: Final answer
    x = 12,719.71

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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.