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Finding the Fourth Proportional to 13,288.74, 19,921.79 and 5,889.17

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Solution

The fourth proportional to 13,288.74, 19,921.79 and 5,889.17 is: 8,828.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,288.74 : 19,921.79 = 5,889.17 : x
  2. Step 2: Convert to fraction form
    13,288.74/19,921.79 = 5,889.17/x
  3. Step 3: Cross multiply
    13,288.74x = 19,921.79 × 5,889.17
  4. Step 4: Simplify right side
    13,288.74x = 117,322,723.13
  5. Step 5: Solve for x
    x = 117,322,723.13/13,288.74
  6. Step 6: Final answer
    x = 8,828.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.