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Finding the Fourth Proportional to 16,776, 25,169.49 and 5,089.23

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Solution

The fourth proportional to 16,776, 25,169.49 and 5,089.23 is: 7,635.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,776 : 25,169.49 = 5,089.23 : x
  2. Step 2: Convert to fraction form
    16,776/25,169.49 = 5,089.23/x
  3. Step 3: Cross multiply
    16,776x = 25,169.49 × 5,089.23
  4. Step 4: Simplify right side
    16,776x = 128,093,323.59
  5. Step 5: Solve for x
    x = 128,093,323.59/16,776
  6. Step 6: Final answer
    x = 7,635.51

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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.