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Finding the Fourth Proportional to 23,058.17, 34,591.87 and 8,268.24

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Solution

The fourth proportional to 23,058.17, 34,591.87 and 8,268.24 is: 12,404.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,058.17 : 34,591.87 = 8,268.24 : x
  2. Step 2: Convert to fraction form
    23,058.17/34,591.87 = 8,268.24/x
  3. Step 3: Cross multiply
    23,058.17x = 34,591.87 × 8,268.24
  4. Step 4: Simplify right side
    23,058.17x = 286,013,883.21
  5. Step 5: Solve for x
    x = 286,013,883.21/23,058.17
  6. Step 6: Final answer
    x = 12,404.02

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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.