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Finding the Fourth Proportional to 14,542.95, 21,825.27 and 5,659.68

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Solution

The fourth proportional to 14,542.95, 21,825.27 and 5,659.68 is: 8,493.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,542.95 : 21,825.27 = 5,659.68 : x
  2. Step 2: Convert to fraction form
    14,542.95/21,825.27 = 5,659.68/x
  3. Step 3: Cross multiply
    14,542.95x = 21,825.27 × 5,659.68
  4. Step 4: Simplify right side
    14,542.95x = 123,524,044.11
  5. Step 5: Solve for x
    x = 123,524,044.11/14,542.95
  6. Step 6: Final answer
    x = 8,493.74

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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.