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Finding the Fourth Proportional to 11,641.06, 17,458.33 and 8,344.38

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Solution

The fourth proportional to 11,641.06, 17,458.33 and 8,344.38 is: 12,514.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,641.06 : 17,458.33 = 8,344.38 : x
  2. Step 2: Convert to fraction form
    11,641.06/17,458.33 = 8,344.38/x
  3. Step 3: Cross multiply
    11,641.06x = 17,458.33 × 8,344.38
  4. Step 4: Simplify right side
    11,641.06x = 145,678,939.69
  5. Step 5: Solve for x
    x = 145,678,939.69/11,641.06
  6. Step 6: Final answer
    x = 12,514.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.