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Finding the Fourth Proportional to 13,813.17, 19,062.30 and 7,844.95

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Solution

The fourth proportional to 13,813.17, 19,062.30 and 7,844.95 is: 10,826.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,813.17 : 19,062.30 = 7,844.95 : x
  2. Step 2: Convert to fraction form
    13,813.17/19,062.30 = 7,844.95/x
  3. Step 3: Cross multiply
    13,813.17x = 19,062.30 × 7,844.95
  4. Step 4: Simplify right side
    13,813.17x = 149,542,843.63
  5. Step 5: Solve for x
    x = 149,542,843.63/13,813.17
  6. Step 6: Final answer
    x = 10,826.11

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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.