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Finding the Fourth Proportional to 16,774.71, 25,169.25 and 5,682.57

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Solution

The fourth proportional to 16,774.71, 25,169.25 and 5,682.57 is: 8,526.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,774.71 : 25,169.25 = 5,682.57 : x
  2. Step 2: Convert to fraction form
    16,774.71/25,169.25 = 5,682.57/x
  3. Step 3: Cross multiply
    16,774.71x = 25,169.25 × 5,682.57
  4. Step 4: Simplify right side
    16,774.71x = 143,026,024.97
  5. Step 5: Solve for x
    x = 143,026,024.97/16,774.71
  6. Step 6: Final answer
    x = 8,526.29

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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.