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Finding the Fourth Proportional to 13,780.66, 19,016.89 and 8,114.11

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Solution

The fourth proportional to 13,780.66, 19,016.89 and 8,114.11 is: 11,197.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,780.66 : 19,016.89 = 8,114.11 : x
  2. Step 2: Convert to fraction form
    13,780.66/19,016.89 = 8,114.11/x
  3. Step 3: Cross multiply
    13,780.66x = 19,016.89 × 8,114.11
  4. Step 4: Simplify right side
    13,780.66x = 154,305,137.32
  5. Step 5: Solve for x
    x = 154,305,137.32/13,780.66
  6. Step 6: Final answer
    x = 11,197.22

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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.