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Finding the Fourth Proportional to 24,471.73, 36,710.26 and 7,827.85

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Solution

The fourth proportional to 24,471.73, 36,710.26 and 7,827.85 is: 11,742.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,471.73 : 36,710.26 = 7,827.85 : x
  2. Step 2: Convert to fraction form
    24,471.73/36,710.26 = 7,827.85/x
  3. Step 3: Cross multiply
    24,471.73x = 36,710.26 × 7,827.85
  4. Step 4: Simplify right side
    24,471.73x = 287,362,297.40
  5. Step 5: Solve for x
    x = 287,362,297.40/24,471.73
  6. Step 6: Final answer
    x = 11,742.62

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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.