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Finding the Fourth Proportional to 23,824.67, 35,711.79 and 8,014.65

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Solution

The fourth proportional to 23,824.67, 35,711.79 and 8,014.65 is: 12,013.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,824.67 : 35,711.79 = 8,014.65 : x
  2. Step 2: Convert to fraction form
    23,824.67/35,711.79 = 8,014.65/x
  3. Step 3: Cross multiply
    23,824.67x = 35,711.79 × 8,014.65
  4. Step 4: Simplify right side
    23,824.67x = 286,217,497.72
  5. Step 5: Solve for x
    x = 286,217,497.72/23,824.67
  6. Step 6: Final answer
    x = 12,013.49

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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.