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Finding the Fourth Proportional to 17,222.61, 23,766.39 and 9,566.38

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Solution

The fourth proportional to 17,222.61, 23,766.39 and 9,566.38 is: 13,201.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,222.61 : 23,766.39 = 9,566.38 : x
  2. Step 2: Convert to fraction form
    17,222.61/23,766.39 = 9,566.38/x
  3. Step 3: Cross multiply
    17,222.61x = 23,766.39 × 9,566.38
  4. Step 4: Simplify right side
    17,222.61x = 227,358,151.30
  5. Step 5: Solve for x
    x = 227,358,151.30/17,222.61
  6. Step 6: Final answer
    x = 13,201.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.