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Finding the Fourth Proportional to 22,877.28, 34,317.68 and 7,083.90

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Solution

The fourth proportional to 22,877.28, 34,317.68 and 7,083.90 is: 10,626.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,877.28 : 34,317.68 = 7,083.90 : x
  2. Step 2: Convert to fraction form
    22,877.28/34,317.68 = 7,083.90/x
  3. Step 3: Cross multiply
    22,877.28x = 34,317.68 × 7,083.90
  4. Step 4: Simplify right side
    22,877.28x = 243,102,977.93
  5. Step 5: Solve for x
    x = 243,102,977.93/22,877.28
  6. Step 6: Final answer
    x = 10,626.39

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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.