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Finding the Fourth Proportional to 13,887.87, 19,164.79 and 7,921.47

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Solution

The fourth proportional to 13,887.87, 19,164.79 and 7,921.47 is: 10,931.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,887.87 : 19,164.79 = 7,921.47 : x
  2. Step 2: Convert to fraction form
    13,887.87/19,164.79 = 7,921.47/x
  3. Step 3: Cross multiply
    13,887.87x = 19,164.79 × 7,921.47
  4. Step 4: Simplify right side
    13,887.87x = 151,813,309.04
  5. Step 5: Solve for x
    x = 151,813,309.04/13,887.87
  6. Step 6: Final answer
    x = 10,931.36

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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.