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Finding the Fourth Proportional to 24,471.66, 36,705.62 and 7,833.44

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Solution

The fourth proportional to 24,471.66, 36,705.62 and 7,833.44 is: 11,749.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,471.66 : 36,705.62 = 7,833.44 : x
  2. Step 2: Convert to fraction form
    24,471.66/36,705.62 = 7,833.44/x
  3. Step 3: Cross multiply
    24,471.66x = 36,705.62 × 7,833.44
  4. Step 4: Simplify right side
    24,471.66x = 287,531,271.93
  5. Step 5: Solve for x
    x = 287,531,271.93/24,471.66
  6. Step 6: Final answer
    x = 11,749.56

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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.