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Finding the Fourth Proportional to 14,141.59, 21,194.97 and 5,816.41

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Solution

The fourth proportional to 14,141.59, 21,194.97 and 5,816.41 is: 8,717.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,141.59 : 21,194.97 = 5,816.41 : x
  2. Step 2: Convert to fraction form
    14,141.59/21,194.97 = 5,816.41/x
  3. Step 3: Cross multiply
    14,141.59x = 21,194.97 × 5,816.41
  4. Step 4: Simplify right side
    14,141.59x = 123,278,635.46
  5. Step 5: Solve for x
    x = 123,278,635.46/14,141.59
  6. Step 6: Final answer
    x = 8,717.45

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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.