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Finding the Fourth Proportional to 13,027.18, 17,977.84 and 7,994.18

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Solution

The fourth proportional to 13,027.18, 17,977.84 and 7,994.18 is: 11,032.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,027.18 : 17,977.84 = 7,994.18 : x
  2. Step 2: Convert to fraction form
    13,027.18/17,977.84 = 7,994.18/x
  3. Step 3: Cross multiply
    13,027.18x = 17,977.84 × 7,994.18
  4. Step 4: Simplify right side
    13,027.18x = 143,718,044.03
  5. Step 5: Solve for x
    x = 143,718,044.03/13,027.18
  6. Step 6: Final answer
    x = 11,032.17

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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.