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Finding the Fourth Proportional to 24,058.78, 36,087.36 and 8,476

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Solution

The fourth proportional to 24,058.78, 36,087.36 and 8,476 is: 12,713.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,058.78 : 36,087.36 = 8,476 : x
  2. Step 2: Convert to fraction form
    24,058.78/36,087.36 = 8,476/x
  3. Step 3: Cross multiply
    24,058.78x = 36,087.36 × 8,476
  4. Step 4: Simplify right side
    24,058.78x = 305,876,463.36
  5. Step 5: Solve for x
    x = 305,876,463.36/24,058.78
  6. Step 6: Final answer
    x = 12,713.71

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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.