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Finding the Fourth Proportional to 13,719.66, 18,939.68 and 9,190.14

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Solution

The fourth proportional to 13,719.66, 18,939.68 and 9,190.14 is: 12,686.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,719.66 : 18,939.68 = 9,190.14 : x
  2. Step 2: Convert to fraction form
    13,719.66/18,939.68 = 9,190.14/x
  3. Step 3: Cross multiply
    13,719.66x = 18,939.68 × 9,190.14
  4. Step 4: Simplify right side
    13,719.66x = 174,058,264.80
  5. Step 5: Solve for x
    x = 174,058,264.80/13,719.66
  6. Step 6: Final answer
    x = 12,686.78

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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.