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Finding the Fourth Proportional to 12,191.52, 16,825.10 and 6,813.99

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Solution

The fourth proportional to 12,191.52, 16,825.10 and 6,813.99 is: 9,403.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,191.52 : 16,825.10 = 6,813.99 : x
  2. Step 2: Convert to fraction form
    12,191.52/16,825.10 = 6,813.99/x
  3. Step 3: Cross multiply
    12,191.52x = 16,825.10 × 6,813.99
  4. Step 4: Simplify right side
    12,191.52x = 114,646,029.08
  5. Step 5: Solve for x
    x = 114,646,029.08/12,191.52
  6. Step 6: Final answer
    x = 9,403.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.