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Finding the Fourth Proportional to 17,771.98, 26,658.10 and 6,681.18

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Solution

The fourth proportional to 17,771.98, 26,658.10 and 6,681.18 is: 10,021.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,771.98 : 26,658.10 = 6,681.18 : x
  2. Step 2: Convert to fraction form
    17,771.98/26,658.10 = 6,681.18/x
  3. Step 3: Cross multiply
    17,771.98x = 26,658.10 × 6,681.18
  4. Step 4: Simplify right side
    17,771.98x = 178,107,564.56
  5. Step 5: Solve for x
    x = 178,107,564.56/17,771.98
  6. Step 6: Final answer
    x = 10,021.82

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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.