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Finding the Fourth Proportional to 13,772.68, 19,005.21 and 7,805.27

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Solution

The fourth proportional to 13,772.68, 19,005.21 and 7,805.27 is: 10,770.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,772.68 : 19,005.21 = 7,805.27 : x
  2. Step 2: Convert to fraction form
    13,772.68/19,005.21 = 7,805.27/x
  3. Step 3: Cross multiply
    13,772.68x = 19,005.21 × 7,805.27
  4. Step 4: Simplify right side
    13,772.68x = 148,340,842.97
  5. Step 5: Solve for x
    x = 148,340,842.97/13,772.68
  6. Step 6: Final answer
    x = 10,770.66

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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.