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Finding the Fourth Proportional to 22,864.16, 34,292.69 and 8,822.14

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Solution

The fourth proportional to 22,864.16, 34,292.69 and 8,822.14 is: 13,231.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,864.16 : 34,292.69 = 8,822.14 : x
  2. Step 2: Convert to fraction form
    22,864.16/34,292.69 = 8,822.14/x
  3. Step 3: Cross multiply
    22,864.16x = 34,292.69 × 8,822.14
  4. Step 4: Simplify right side
    22,864.16x = 302,534,912.16
  5. Step 5: Solve for x
    x = 302,534,912.16/22,864.16
  6. Step 6: Final answer
    x = 13,231.84

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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.