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Finding the Fourth Proportional to 13,813.80, 19,062.96 and 7,845.18

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Solution

The fourth proportional to 13,813.80, 19,062.96 and 7,845.18 is: 10,826.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,813.80 : 19,062.96 = 7,845.18 : x
  2. Step 2: Convert to fraction form
    13,813.80/19,062.96 = 7,845.18/x
  3. Step 3: Cross multiply
    13,813.80x = 19,062.96 × 7,845.18
  4. Step 4: Simplify right side
    13,813.80x = 149,552,352.53
  5. Step 5: Solve for x
    x = 149,552,352.53/13,813.80
  6. Step 6: Final answer
    x = 10,826.30

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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.