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Finding the Fourth Proportional to 16,822, 25,244.52 and 5,878

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Solution

The fourth proportional to 16,822, 25,244.52 and 5,878 is: 8,821.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,822 : 25,244.52 = 5,878 : x
  2. Step 2: Convert to fraction form
    16,822/25,244.52 = 5,878/x
  3. Step 3: Cross multiply
    16,822x = 25,244.52 × 5,878
  4. Step 4: Simplify right side
    16,822x = 148,387,288.56
  5. Step 5: Solve for x
    x = 148,387,288.56/16,822
  6. Step 6: Final answer
    x = 8,821.03

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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.