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Finding the Fourth Proportional to 22,132.81, 33,199.22 and 7,342.84

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Solution

The fourth proportional to 22,132.81, 33,199.22 and 7,342.84 is: 11,014.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,132.81 : 33,199.22 = 7,342.84 : x
  2. Step 2: Convert to fraction form
    22,132.81/33,199.22 = 7,342.84/x
  3. Step 3: Cross multiply
    22,132.81x = 33,199.22 × 7,342.84
  4. Step 4: Simplify right side
    22,132.81x = 243,776,560.58
  5. Step 5: Solve for x
    x = 243,776,560.58/22,132.81
  6. Step 6: Final answer
    x = 11,014.26

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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.