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Finding the Fourth Proportional to 16,716.67, 25,061.18 and 7,827.42

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Solution

The fourth proportional to 16,716.67, 25,061.18 and 7,827.42 is: 11,734.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,716.67 : 25,061.18 = 7,827.42 : x
  2. Step 2: Convert to fraction form
    16,716.67/25,061.18 = 7,827.42/x
  3. Step 3: Cross multiply
    16,716.67x = 25,061.18 × 7,827.42
  4. Step 4: Simplify right side
    16,716.67x = 196,164,381.56
  5. Step 5: Solve for x
    x = 196,164,381.56/16,716.67
  6. Step 6: Final answer
    x = 11,734.66

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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.