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Finding the Fourth Proportional to 24,721.56, 37,088.34 and 8,082.36

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Solution

The fourth proportional to 24,721.56, 37,088.34 and 8,082.36 is: 12,125.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,721.56 : 37,088.34 = 8,082.36 : x
  2. Step 2: Convert to fraction form
    24,721.56/37,088.34 = 8,082.36/x
  3. Step 3: Cross multiply
    24,721.56x = 37,088.34 × 8,082.36
  4. Step 4: Simplify right side
    24,721.56x = 299,761,315.68
  5. Step 5: Solve for x
    x = 299,761,315.68/24,721.56
  6. Step 6: Final answer
    x = 12,125.50

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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.