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Finding the Fourth Proportional to 22,569.04, 33,856.44 and 8,537.68

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Solution

The fourth proportional to 22,569.04, 33,856.44 and 8,537.68 is: 12,807.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,569.04 : 33,856.44 = 8,537.68 : x
  2. Step 2: Convert to fraction form
    22,569.04/33,856.44 = 8,537.68/x
  3. Step 3: Cross multiply
    22,569.04x = 33,856.44 × 8,537.68
  4. Step 4: Simplify right side
    22,569.04x = 289,055,450.66
  5. Step 5: Solve for x
    x = 289,055,450.66/22,569.04
  6. Step 6: Final answer
    x = 12,807.61

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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.