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Finding the Fourth Proportional to 23,058.29, 31,821.99 and 12,850.91

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Solution

The fourth proportional to 23,058.29, 31,821.99 and 12,850.91 is: 17,735.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,058.29 : 31,821.99 = 12,850.91 : x
  2. Step 2: Convert to fraction form
    23,058.29/31,821.99 = 12,850.91/x
  3. Step 3: Cross multiply
    23,058.29x = 31,821.99 × 12,850.91
  4. Step 4: Simplify right side
    23,058.29x = 408,941,370.40
  5. Step 5: Solve for x
    x = 408,941,370.40/23,058.29
  6. Step 6: Final answer
    x = 17,735.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.