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Finding the Fourth Proportional to 22,002, 32,977.84 and 8,845.96

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Solution

The fourth proportional to 22,002, 32,977.84 and 8,845.96 is: 13,258.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,002 : 32,977.84 = 8,845.96 : x
  2. Step 2: Convert to fraction form
    22,002/32,977.84 = 8,845.96/x
  3. Step 3: Cross multiply
    22,002x = 32,977.84 × 8,845.96
  4. Step 4: Simplify right side
    22,002x = 291,720,653.53
  5. Step 5: Solve for x
    x = 291,720,653.53/22,002
  6. Step 6: Final answer
    x = 13,258.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.