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Finding the Fourth Proportional to 22,431.30, 33,647.85 and 8,389.89

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Solution

The fourth proportional to 22,431.30, 33,647.85 and 8,389.89 is: 12,585.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,431.30 : 33,647.85 = 8,389.89 : x
  2. Step 2: Convert to fraction form
    22,431.30/33,647.85 = 8,389.89/x
  3. Step 3: Cross multiply
    22,431.30x = 33,647.85 × 8,389.89
  4. Step 4: Simplify right side
    22,431.30x = 282,301,760.24
  5. Step 5: Solve for x
    x = 282,301,760.24/22,431.30
  6. Step 6: Final answer
    x = 12,585.17

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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.