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Finding the Fourth Proportional to 23,097.50, 34,657.80 and 8,309.74

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Solution

The fourth proportional to 23,097.50, 34,657.80 and 8,309.74 is: 12,468.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,097.50 : 34,657.80 = 8,309.74 : x
  2. Step 2: Convert to fraction form
    23,097.50/34,657.80 = 8,309.74/x
  3. Step 3: Cross multiply
    23,097.50x = 34,657.80 × 8,309.74
  4. Step 4: Simplify right side
    23,097.50x = 287,997,306.97
  5. Step 5: Solve for x
    x = 287,997,306.97/23,097.50
  6. Step 6: Final answer
    x = 12,468.77

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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.