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Finding the Fourth Proportional to 17,772.96, 26,658.51 and 6,678.80

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Solution

The fourth proportional to 17,772.96, 26,658.51 and 6,678.80 is: 10,017.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,772.96 : 26,658.51 = 6,678.80 : x
  2. Step 2: Convert to fraction form
    17,772.96/26,658.51 = 6,678.80/x
  3. Step 3: Cross multiply
    17,772.96x = 26,658.51 × 6,678.80
  4. Step 4: Simplify right side
    17,772.96x = 178,046,723.30
  5. Step 5: Solve for x
    x = 178,046,723.30/17,772.96
  6. Step 6: Final answer
    x = 10,017.84

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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.