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Finding the Fourth Proportional to 13,041.14, 19,585.85 and 6,805.44

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Solution

The fourth proportional to 13,041.14, 19,585.85 and 6,805.44 is: 10,220.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,041.14 : 19,585.85 = 6,805.44 : x
  2. Step 2: Convert to fraction form
    13,041.14/19,585.85 = 6,805.44/x
  3. Step 3: Cross multiply
    13,041.14x = 19,585.85 × 6,805.44
  4. Step 4: Simplify right side
    13,041.14x = 133,290,293.00
  5. Step 5: Solve for x
    x = 133,290,293.00/13,041.14
  6. Step 6: Final answer
    x = 10,220.76

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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.