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Finding the Fourth Proportional to 16,136.52, 24,214.25 and 6,775.82

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Solution

The fourth proportional to 16,136.52, 24,214.25 and 6,775.82 is: 10,167.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,136.52 : 24,214.25 = 6,775.82 : x
  2. Step 2: Convert to fraction form
    16,136.52/24,214.25 = 6,775.82/x
  3. Step 3: Cross multiply
    16,136.52x = 24,214.25 × 6,775.82
  4. Step 4: Simplify right side
    16,136.52x = 164,071,278.36
  5. Step 5: Solve for x
    x = 164,071,278.36/16,136.52
  6. Step 6: Final answer
    x = 10,167.70

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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.