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Finding the Fourth Proportional to 13,086.50, 18,058.98 and 7,118.06

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Solution

The fourth proportional to 13,086.50, 18,058.98 and 7,118.06 is: 9,822.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,086.50 : 18,058.98 = 7,118.06 : x
  2. Step 2: Convert to fraction form
    13,086.50/18,058.98 = 7,118.06/x
  3. Step 3: Cross multiply
    13,086.50x = 18,058.98 × 7,118.06
  4. Step 4: Simplify right side
    13,086.50x = 128,544,903.18
  5. Step 5: Solve for x
    x = 128,544,903.18/13,086.50
  6. Step 6: Final answer
    x = 9,822.71

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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.