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Finding the Fourth Proportional to 24,472.94, 36,711.84 and 7,828.79

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Solution

The fourth proportional to 24,472.94, 36,711.84 and 7,828.79 is: 11,743.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,472.94 : 36,711.84 = 7,828.79 : x
  2. Step 2: Convert to fraction form
    24,472.94/36,711.84 = 7,828.79/x
  3. Step 3: Cross multiply
    24,472.94x = 36,711.84 × 7,828.79
  4. Step 4: Simplify right side
    24,472.94x = 287,409,285.87
  5. Step 5: Solve for x
    x = 287,409,285.87/24,472.94
  6. Step 6: Final answer
    x = 11,743.96

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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.