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Finding the Fourth Proportional to 13,086.14, 18,058.68 and 7,117.85

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Solution

The fourth proportional to 13,086.14, 18,058.68 and 7,117.85 is: 9,822.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,086.14 : 18,058.68 = 7,117.85 : x
  2. Step 2: Convert to fraction form
    13,086.14/18,058.68 = 7,117.85/x
  3. Step 3: Cross multiply
    13,086.14x = 18,058.68 × 7,117.85
  4. Step 4: Simplify right side
    13,086.14x = 128,539,020.58
  5. Step 5: Solve for x
    x = 128,539,020.58/13,086.14
  6. Step 6: Final answer
    x = 9,822.54

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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.