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Finding the Fourth Proportional to 22,232.34, 33,361.64 and 8,202.16

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Solution

The fourth proportional to 22,232.34, 33,361.64 and 8,202.16 is: 12,308.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,232.34 : 33,361.64 = 8,202.16 : x
  2. Step 2: Convert to fraction form
    22,232.34/33,361.64 = 8,202.16/x
  3. Step 3: Cross multiply
    22,232.34x = 33,361.64 × 8,202.16
  4. Step 4: Simplify right side
    22,232.34x = 273,637,509.14
  5. Step 5: Solve for x
    x = 273,637,509.14/22,232.34
  6. Step 6: Final answer
    x = 12,308.08

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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.