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Finding the Fourth Proportional to 23,089.86, 34,626.24 and 8,294.76

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Solution

The fourth proportional to 23,089.86, 34,626.24 and 8,294.76 is: 12,439.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,089.86 : 34,626.24 = 8,294.76 : x
  2. Step 2: Convert to fraction form
    23,089.86/34,626.24 = 8,294.76/x
  3. Step 3: Cross multiply
    23,089.86x = 34,626.24 × 8,294.76
  4. Step 4: Simplify right side
    23,089.86x = 287,216,350.50
  5. Step 5: Solve for x
    x = 287,216,350.50/23,089.86
  6. Step 6: Final answer
    x = 12,439.07

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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.