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Finding the Fourth Proportional to 13,077.54, 19,616.16 and 5,687.28

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Solution

The fourth proportional to 13,077.54, 19,616.16 and 5,687.28 is: 8,530.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,077.54 : 19,616.16 = 5,687.28 : x
  2. Step 2: Convert to fraction form
    13,077.54/19,616.16 = 5,687.28/x
  3. Step 3: Cross multiply
    13,077.54x = 19,616.16 × 5,687.28
  4. Step 4: Simplify right side
    13,077.54x = 111,562,594.44
  5. Step 5: Solve for x
    x = 111,562,594.44/13,077.54
  6. Step 6: Final answer
    x = 8,530.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.