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Finding the Fourth Proportional to 22,302.24, 33,463.08 and 8,448

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Solution

The fourth proportional to 22,302.24, 33,463.08 and 8,448 is: 12,675.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,302.24 : 33,463.08 = 8,448 : x
  2. Step 2: Convert to fraction form
    22,302.24/33,463.08 = 8,448/x
  3. Step 3: Cross multiply
    22,302.24x = 33,463.08 × 8,448
  4. Step 4: Simplify right side
    22,302.24x = 282,696,099.84
  5. Step 5: Solve for x
    x = 282,696,099.84/22,302.24
  6. Step 6: Final answer
    x = 12,675.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.