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Finding the Fourth Proportional to 14,191.74, 21,287.64 and 5,427.54

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Solution

The fourth proportional to 14,191.74, 21,287.64 and 5,427.54 is: 8,141.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,191.74 : 21,287.64 = 5,427.54 : x
  2. Step 2: Convert to fraction form
    14,191.74/21,287.64 = 5,427.54/x
  3. Step 3: Cross multiply
    14,191.74x = 21,287.64 × 5,427.54
  4. Step 4: Simplify right side
    14,191.74x = 115,539,517.61
  5. Step 5: Solve for x
    x = 115,539,517.61/14,191.74
  6. Step 6: Final answer
    x = 8,141.32

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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.