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Finding the Fourth Proportional to 24,471.17, 36,705.73 and 7,832.15

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Solution

The fourth proportional to 24,471.17, 36,705.73 and 7,832.15 is: 11,747.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,471.17 : 36,705.73 = 7,832.15 : x
  2. Step 2: Convert to fraction form
    24,471.17/36,705.73 = 7,832.15/x
  3. Step 3: Cross multiply
    24,471.17x = 36,705.73 × 7,832.15
  4. Step 4: Simplify right side
    24,471.17x = 287,484,783.22
  5. Step 5: Solve for x
    x = 287,484,783.22/24,471.17
  6. Step 6: Final answer
    x = 11,747.90

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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.