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Finding the Fourth Proportional to 13,166.48, 19,754.94 and 7,911.38

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Solution

The fourth proportional to 13,166.48, 19,754.94 and 7,911.38 is: 11,870.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,166.48 : 19,754.94 = 7,911.38 : x
  2. Step 2: Convert to fraction form
    13,166.48/19,754.94 = 7,911.38/x
  3. Step 3: Cross multiply
    13,166.48x = 19,754.94 × 7,911.38
  4. Step 4: Simplify right side
    13,166.48x = 156,288,837.22
  5. Step 5: Solve for x
    x = 156,288,837.22/13,166.48
  6. Step 6: Final answer
    x = 11,870.21

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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.