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Finding the Fourth Proportional to 22,593.84, 31,179.42 and 12,657.84

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Solution

The fourth proportional to 22,593.84, 31,179.42 and 12,657.84 is: 17,467.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,593.84 : 31,179.42 = 12,657.84 : x
  2. Step 2: Convert to fraction form
    22,593.84/31,179.42 = 12,657.84/x
  3. Step 3: Cross multiply
    22,593.84x = 31,179.42 × 12,657.84
  4. Step 4: Simplify right side
    22,593.84x = 394,664,109.65
  5. Step 5: Solve for x
    x = 394,664,109.65/22,593.84
  6. Step 6: Final answer
    x = 17,467.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.