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Finding the Fourth Proportional to 22,423.46, 33,640.47 and 12,569.54

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Solution

The fourth proportional to 22,423.46, 33,640.47 and 12,569.54 is: 18,857.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,423.46 : 33,640.47 = 12,569.54 : x
  2. Step 2: Convert to fraction form
    22,423.46/33,640.47 = 12,569.54/x
  3. Step 3: Cross multiply
    22,423.46x = 33,640.47 × 12,569.54
  4. Step 4: Simplify right side
    22,423.46x = 422,845,065.08
  5. Step 5: Solve for x
    x = 422,845,065.08/22,423.46
  6. Step 6: Final answer
    x = 18,857.27

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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.