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Finding the Fourth Proportional to 13,944.66, 19,238.92 and 7,972.10

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Solution

The fourth proportional to 13,944.66, 19,238.92 and 7,972.10 is: 10,998.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,944.66 : 19,238.92 = 7,972.10 : x
  2. Step 2: Convert to fraction form
    13,944.66/19,238.92 = 7,972.10/x
  3. Step 3: Cross multiply
    13,944.66x = 19,238.92 × 7,972.10
  4. Step 4: Simplify right side
    13,944.66x = 153,374,594.13
  5. Step 5: Solve for x
    x = 153,374,594.13/13,944.66
  6. Step 6: Final answer
    x = 10,998.80

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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.