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Finding the Fourth Proportional to 13,174.95, 19,757.85 and 9,466.17

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Solution

The fourth proportional to 13,174.95, 19,757.85 and 9,466.17 is: 14,195.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,174.95 : 19,757.85 = 9,466.17 : x
  2. Step 2: Convert to fraction form
    13,174.95/19,757.85 = 9,466.17/x
  3. Step 3: Cross multiply
    13,174.95x = 19,757.85 × 9,466.17
  4. Step 4: Simplify right side
    13,174.95x = 187,031,166.93
  5. Step 5: Solve for x
    x = 187,031,166.93/13,174.95
  6. Step 6: Final answer
    x = 14,195.97

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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.