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Finding the Fourth Proportional to 22,258.53, 30,706.38 and 12,821.61

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Solution

The fourth proportional to 22,258.53, 30,706.38 and 12,821.61 is: 17,687.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,258.53 : 30,706.38 = 12,821.61 : x
  2. Step 2: Convert to fraction form
    22,258.53/30,706.38 = 12,821.61/x
  3. Step 3: Cross multiply
    22,258.53x = 30,706.38 × 12,821.61
  4. Step 4: Simplify right side
    22,258.53x = 393,705,228.87
  5. Step 5: Solve for x
    x = 393,705,228.87/22,258.53
  6. Step 6: Final answer
    x = 17,687.84

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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.