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Finding the Fourth Proportional to 23,083.83, 34,617.24 and 8,288.78

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Solution

The fourth proportional to 23,083.83, 34,617.24 and 8,288.78 is: 12,430.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,083.83 : 34,617.24 = 8,288.78 : x
  2. Step 2: Convert to fraction form
    23,083.83/34,617.24 = 8,288.78/x
  3. Step 3: Cross multiply
    23,083.83x = 34,617.24 × 8,288.78
  4. Step 4: Simplify right side
    23,083.83x = 286,934,513.48
  5. Step 5: Solve for x
    x = 286,934,513.48/23,083.83
  6. Step 6: Final answer
    x = 12,430.11

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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.