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Finding the Fourth Proportional to 17,982.72, 26,926.83 and 14,454

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Solution

The fourth proportional to 17,982.72, 26,926.83 and 14,454 is: 21,643.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,982.72 : 26,926.83 = 14,454 : x
  2. Step 2: Convert to fraction form
    17,982.72/26,926.83 = 14,454/x
  3. Step 3: Cross multiply
    17,982.72x = 26,926.83 × 14,454
  4. Step 4: Simplify right side
    17,982.72x = 389,200,400.82
  5. Step 5: Solve for x
    x = 389,200,400.82/17,982.72
  6. Step 6: Final answer
    x = 21,643.02

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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.