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Finding the Fourth Proportional to 23,640.24, 35,462.88 and 8,058

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Solution

The fourth proportional to 23,640.24, 35,462.88 and 8,058 is: 12,087.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,640.24 : 35,462.88 = 8,058 : x
  2. Step 2: Convert to fraction form
    23,640.24/35,462.88 = 8,058/x
  3. Step 3: Cross multiply
    23,640.24x = 35,462.88 × 8,058
  4. Step 4: Simplify right side
    23,640.24x = 285,759,887.04
  5. Step 5: Solve for x
    x = 285,759,887.04/23,640.24
  6. Step 6: Final answer
    x = 12,087.86

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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.