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Finding the Fourth Proportional to 16,175.52, 24,266.52 and 5,085

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Solution

The fourth proportional to 16,175.52, 24,266.52 and 5,085 is: 7,628.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,175.52 : 24,266.52 = 5,085 : x
  2. Step 2: Convert to fraction form
    16,175.52/24,266.52 = 5,085/x
  3. Step 3: Cross multiply
    16,175.52x = 24,266.52 × 5,085
  4. Step 4: Simplify right side
    16,175.52x = 123,395,254.20
  5. Step 5: Solve for x
    x = 123,395,254.20/16,175.52
  6. Step 6: Final answer
    x = 7,628.52

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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.