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Finding the Fourth Proportional to 13,077.38, 19,616.04 and 5,680.88

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Solution

The fourth proportional to 13,077.38, 19,616.04 and 5,680.88 is: 8,521.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,077.38 : 19,616.04 = 5,680.88 : x
  2. Step 2: Convert to fraction form
    13,077.38/19,616.04 = 5,680.88/x
  3. Step 3: Cross multiply
    13,077.38x = 19,616.04 × 5,680.88
  4. Step 4: Simplify right side
    13,077.38x = 111,436,369.32
  5. Step 5: Solve for x
    x = 111,436,369.32/13,077.38
  6. Step 6: Final answer
    x = 8,521.31

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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.