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Finding the Fourth Proportional to 22,893.24, 34,355.25 and 8,102.10

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Solution

The fourth proportional to 22,893.24, 34,355.25 and 8,102.10 is: 12,158.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,893.24 : 34,355.25 = 8,102.10 : x
  2. Step 2: Convert to fraction form
    22,893.24/34,355.25 = 8,102.10/x
  3. Step 3: Cross multiply
    22,893.24x = 34,355.25 × 8,102.10
  4. Step 4: Simplify right side
    22,893.24x = 278,349,671.03
  5. Step 5: Solve for x
    x = 278,349,671.03/22,893.24
  6. Step 6: Final answer
    x = 12,158.60

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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.