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Finding the Fourth Proportional to 13,816.11, 19,065.71 and 8,447.54

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Solution

The fourth proportional to 13,816.11, 19,065.71 and 8,447.54 is: 11,657.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,816.11 : 19,065.71 = 8,447.54 : x
  2. Step 2: Convert to fraction form
    13,816.11/19,065.71 = 8,447.54/x
  3. Step 3: Cross multiply
    13,816.11x = 19,065.71 × 8,447.54
  4. Step 4: Simplify right side
    13,816.11x = 161,058,347.85
  5. Step 5: Solve for x
    x = 161,058,347.85/13,816.11
  6. Step 6: Final answer
    x = 11,657.29

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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.