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Finding the Fourth Proportional to 15,889.73, 23,834.61 and 6,523.22

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Solution

The fourth proportional to 15,889.73, 23,834.61 and 6,523.22 is: 9,784.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,889.73 : 23,834.61 = 6,523.22 : x
  2. Step 2: Convert to fraction form
    15,889.73/23,834.61 = 6,523.22/x
  3. Step 3: Cross multiply
    15,889.73x = 23,834.61 × 6,523.22
  4. Step 4: Simplify right side
    15,889.73x = 155,478,285.47
  5. Step 5: Solve for x
    x = 155,478,285.47/15,889.73
  6. Step 6: Final answer
    x = 9,784.83

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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.