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Finding the Fourth Proportional to 22,263.24, 33,391.59 and 8,409

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Solution

The fourth proportional to 22,263.24, 33,391.59 and 8,409 is: 12,612.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,263.24 : 33,391.59 = 8,409 : x
  2. Step 2: Convert to fraction form
    22,263.24/33,391.59 = 8,409/x
  3. Step 3: Cross multiply
    22,263.24x = 33,391.59 × 8,409
  4. Step 4: Simplify right side
    22,263.24x = 280,789,880.31
  5. Step 5: Solve for x
    x = 280,789,880.31/22,263.24
  6. Step 6: Final answer
    x = 12,612.26

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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.