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Finding the Fourth Proportional to 13,772.84, 19,007.30 and 7,806.44

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Solution

The fourth proportional to 13,772.84, 19,007.30 and 7,806.44 is: 10,773.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,772.84 : 19,007.30 = 7,806.44 : x
  2. Step 2: Convert to fraction form
    13,772.84/19,007.30 = 7,806.44/x
  3. Step 3: Cross multiply
    13,772.84x = 19,007.30 × 7,806.44
  4. Step 4: Simplify right side
    13,772.84x = 148,379,212.94
  5. Step 5: Solve for x
    x = 148,379,212.94/13,772.84
  6. Step 6: Final answer
    x = 10,773.32

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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.