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Finding the Fourth Proportional to 12,981.66, 17,906.34 and 8,193.14

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Solution

The fourth proportional to 12,981.66, 17,906.34 and 8,193.14 is: 11,301.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,981.66 : 17,906.34 = 8,193.14 : x
  2. Step 2: Convert to fraction form
    12,981.66/17,906.34 = 8,193.14/x
  3. Step 3: Cross multiply
    12,981.66x = 17,906.34 × 8,193.14
  4. Step 4: Simplify right side
    12,981.66x = 146,709,150.51
  5. Step 5: Solve for x
    x = 146,709,150.51/12,981.66
  6. Step 6: Final answer
    x = 11,301.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.