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Finding the Fourth Proportional to 13,058.10, 18,012.70 and 8,269.24

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Solution

The fourth proportional to 13,058.10, 18,012.70 and 8,269.24 is: 11,406.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,058.10 : 18,012.70 = 8,269.24 : x
  2. Step 2: Convert to fraction form
    13,058.10/18,012.70 = 8,269.24/x
  3. Step 3: Cross multiply
    13,058.10x = 18,012.70 × 8,269.24
  4. Step 4: Simplify right side
    13,058.10x = 148,951,339.35
  5. Step 5: Solve for x
    x = 148,951,339.35/13,058.10
  6. Step 6: Final answer
    x = 11,406.82

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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.