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Finding the Fourth Proportional to 13,966, 19,273.12 and 7,997.76

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Solution

The fourth proportional to 13,966, 19,273.12 and 7,997.76 is: 11,036.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,966 : 19,273.12 = 7,997.76 : x
  2. Step 2: Convert to fraction form
    13,966/19,273.12 = 7,997.76/x
  3. Step 3: Cross multiply
    13,966x = 19,273.12 × 7,997.76
  4. Step 4: Simplify right side
    13,966x = 154,141,788.21
  5. Step 5: Solve for x
    x = 154,141,788.21/13,966
  6. Step 6: Final answer
    x = 11,036.93

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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.