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Finding the Fourth Proportional to 22,012.84, 32,982.18 and 14,205.16

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Solution

The fourth proportional to 22,012.84, 32,982.18 and 14,205.16 is: 21,283.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,012.84 : 32,982.18 = 14,205.16 : x
  2. Step 2: Convert to fraction form
    22,012.84/32,982.18 = 14,205.16/x
  3. Step 3: Cross multiply
    22,012.84x = 32,982.18 × 14,205.16
  4. Step 4: Simplify right side
    22,012.84x = 468,517,144.05
  5. Step 5: Solve for x
    x = 468,517,144.05/22,012.84
  6. Step 6: Final answer
    x = 21,283.81

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1.5x scale

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.