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Finding the Fourth Proportional to 23,119.77, 34,684.82 and 9,081.15

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Solution

The fourth proportional to 23,119.77, 34,684.82 and 9,081.15 is: 13,623.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,119.77 : 34,684.82 = 9,081.15 : x
  2. Step 2: Convert to fraction form
    23,119.77/34,684.82 = 9,081.15/x
  3. Step 3: Cross multiply
    23,119.77x = 34,684.82 × 9,081.15
  4. Step 4: Simplify right side
    23,119.77x = 314,978,053.14
  5. Step 5: Solve for x
    x = 314,978,053.14/23,119.77
  6. Step 6: Final answer
    x = 13,623.75

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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.