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Finding the Fourth Proportional to 12,132.99, 16,743.78 and 6,827.80

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Solution

The fourth proportional to 12,132.99, 16,743.78 and 6,827.80 is: 9,422.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,132.99 : 16,743.78 = 6,827.80 : x
  2. Step 2: Convert to fraction form
    12,132.99/16,743.78 = 6,827.80/x
  3. Step 3: Cross multiply
    12,132.99x = 16,743.78 × 6,827.80
  4. Step 4: Simplify right side
    12,132.99x = 114,323,181.08
  5. Step 5: Solve for x
    x = 114,323,181.08/12,132.99
  6. Step 6: Final answer
    x = 9,422.51

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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.