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Finding the Fourth Proportional to 13,773.25, 19,006.69 and 7,806.85

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Solution

The fourth proportional to 13,773.25, 19,006.69 and 7,806.85 is: 10,773.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,773.25 : 19,006.69 = 7,806.85 : x
  2. Step 2: Convert to fraction form
    13,773.25/19,006.69 = 7,806.85/x
  3. Step 3: Cross multiply
    13,773.25x = 19,006.69 × 7,806.85
  4. Step 4: Simplify right side
    13,773.25x = 148,382,377.83
  5. Step 5: Solve for x
    x = 148,382,377.83/13,773.25
  6. Step 6: Final answer
    x = 10,773.23

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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.