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Finding the Fourth Proportional to 22,012.80, 32,994.90 and 9,530.70

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Solution

The fourth proportional to 22,012.80, 32,994.90 and 9,530.70 is: 14,285.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,012.80 : 32,994.90 = 9,530.70 : x
  2. Step 2: Convert to fraction form
    22,012.80/32,994.90 = 9,530.70/x
  3. Step 3: Cross multiply
    22,012.80x = 32,994.90 × 9,530.70
  4. Step 4: Simplify right side
    22,012.80x = 314,464,493.43
  5. Step 5: Solve for x
    x = 314,464,493.43/22,012.80
  6. Step 6: Final answer
    x = 14,285.53

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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.