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Finding the Fourth Proportional to 24,787.50, 37,187.13 and 8,371.50

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Solution

The fourth proportional to 24,787.50, 37,187.13 and 8,371.50 is: 12,559.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,787.50 : 37,187.13 = 8,371.50 : x
  2. Step 2: Convert to fraction form
    24,787.50/37,187.13 = 8,371.50/x
  3. Step 3: Cross multiply
    24,787.50x = 37,187.13 × 8,371.50
  4. Step 4: Simplify right side
    24,787.50x = 311,312,058.80
  5. Step 5: Solve for x
    x = 311,312,058.80/24,787.50
  6. Step 6: Final answer
    x = 12,559.24

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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.