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Finding the Fourth Proportional to 16,855, 25,282.50 and 5,168.14

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Solution

The fourth proportional to 16,855, 25,282.50 and 5,168.14 is: 7,752.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,855 : 25,282.50 = 5,168.14 : x
  2. Step 2: Convert to fraction form
    16,855/25,282.50 = 5,168.14/x
  3. Step 3: Cross multiply
    16,855x = 25,282.50 × 5,168.14
  4. Step 4: Simplify right side
    16,855x = 130,663,499.55
  5. Step 5: Solve for x
    x = 130,663,499.55/16,855
  6. Step 6: Final answer
    x = 7,752.21

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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.