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Finding the Fourth Proportional to 22,535.42, 33,802.98 and 9,205.57

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Solution

The fourth proportional to 22,535.42, 33,802.98 and 9,205.57 is: 13,808.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,535.42 : 33,802.98 = 9,205.57 : x
  2. Step 2: Convert to fraction form
    22,535.42/33,802.98 = 9,205.57/x
  3. Step 3: Cross multiply
    22,535.42x = 33,802.98 × 9,205.57
  4. Step 4: Simplify right side
    22,535.42x = 311,175,706.33
  5. Step 5: Solve for x
    x = 311,175,706.33/22,535.42
  6. Step 6: Final answer
    x = 13,808.30

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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.