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Finding the Fourth Proportional to 23,129.88, 31,919.12 and 13,058.24

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Solution

The fourth proportional to 23,129.88, 31,919.12 and 13,058.24 is: 18,020.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,129.88 : 31,919.12 = 13,058.24 : x
  2. Step 2: Convert to fraction form
    23,129.88/31,919.12 = 13,058.24/x
  3. Step 3: Cross multiply
    23,129.88x = 31,919.12 × 13,058.24
  4. Step 4: Simplify right side
    23,129.88x = 416,807,304.66
  5. Step 5: Solve for x
    x = 416,807,304.66/23,129.88
  6. Step 6: Final answer
    x = 18,020.30

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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.