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Finding the Fourth Proportional to 22,832.24, 34,251.13 and 8,038.13

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Solution

The fourth proportional to 22,832.24, 34,251.13 and 8,038.13 is: 12,058.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,832.24 : 34,251.13 = 8,038.13 : x
  2. Step 2: Convert to fraction form
    22,832.24/34,251.13 = 8,038.13/x
  3. Step 3: Cross multiply
    22,832.24x = 34,251.13 × 8,038.13
  4. Step 4: Simplify right side
    22,832.24x = 275,315,015.49
  5. Step 5: Solve for x
    x = 275,315,015.49/22,832.24
  6. Step 6: Final answer
    x = 12,058.17

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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.