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Finding the Fourth Proportional to 13,772.50, 19,010.55 and 8,107.18

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Solution

The fourth proportional to 13,772.50, 19,010.55 and 8,107.18 is: 11,190.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,772.50 : 19,010.55 = 8,107.18 : x
  2. Step 2: Convert to fraction form
    13,772.50/19,010.55 = 8,107.18/x
  3. Step 3: Cross multiply
    13,772.50x = 19,010.55 × 8,107.18
  4. Step 4: Simplify right side
    13,772.50x = 154,121,950.75
  5. Step 5: Solve for x
    x = 154,121,950.75/13,772.50
  6. Step 6: Final answer
    x = 11,190.56

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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.