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Finding the Fourth Proportional to 12,193.96, 16,827.78 and 6,605

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Solution

The fourth proportional to 12,193.96, 16,827.78 and 6,605 is: 9,114.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,193.96 : 16,827.78 = 6,605 : x
  2. Step 2: Convert to fraction form
    12,193.96/16,827.78 = 6,605/x
  3. Step 3: Cross multiply
    12,193.96x = 16,827.78 × 6,605
  4. Step 4: Simplify right side
    12,193.96x = 111,147,486.90
  5. Step 5: Solve for x
    x = 111,147,486.90/12,193.96
  6. Step 6: Final answer
    x = 9,114.96

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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.