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Finding the Fourth Proportional to 24,702.62, 37,059.82 and 8,062.67

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Solution

The fourth proportional to 24,702.62, 37,059.82 and 8,062.67 is: 12,095.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,702.62 : 37,059.82 = 8,062.67 : x
  2. Step 2: Convert to fraction form
    24,702.62/37,059.82 = 8,062.67/x
  3. Step 3: Cross multiply
    24,702.62x = 37,059.82 × 8,062.67
  4. Step 4: Simplify right side
    24,702.62x = 298,801,171.41
  5. Step 5: Solve for x
    x = 298,801,171.41/24,702.62
  6. Step 6: Final answer
    x = 12,095.93

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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.