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Finding the Fourth Proportional to 13,811.17, 19,060.49 and 7,844.71

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Solution

The fourth proportional to 13,811.17, 19,060.49 and 7,844.71 is: 10,826.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,811.17 : 19,060.49 = 7,844.71 : x
  2. Step 2: Convert to fraction form
    13,811.17/19,060.49 = 7,844.71/x
  3. Step 3: Cross multiply
    13,811.17x = 19,060.49 × 7,844.71
  4. Step 4: Simplify right side
    13,811.17x = 149,524,016.51
  5. Step 5: Solve for x
    x = 149,524,016.51/13,811.17
  6. Step 6: Final answer
    x = 10,826.31

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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.