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Finding the Fourth Proportional to 14,641.40, 21,947.70 and 13,086.20

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Solution

The fourth proportional to 14,641.40, 21,947.70 and 13,086.20 is: 19,616.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,641.40 : 21,947.70 = 13,086.20 : x
  2. Step 2: Convert to fraction form
    14,641.40/21,947.70 = 13,086.20/x
  3. Step 3: Cross multiply
    14,641.40x = 21,947.70 × 13,086.20
  4. Step 4: Simplify right side
    14,641.40x = 287,211,991.74
  5. Step 5: Solve for x
    x = 287,211,991.74/14,641.40
  6. Step 6: Final answer
    x = 19,616.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.