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Finding the Fourth Proportional to 13,821.68, 19,074.12 and 7,853.52

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Solution

The fourth proportional to 13,821.68, 19,074.12 and 7,853.52 is: 10,837.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,821.68 : 19,074.12 = 7,853.52 : x
  2. Step 2: Convert to fraction form
    13,821.68/19,074.12 = 7,853.52/x
  3. Step 3: Cross multiply
    13,821.68x = 19,074.12 × 7,853.52
  4. Step 4: Simplify right side
    13,821.68x = 149,798,982.90
  5. Step 5: Solve for x
    x = 149,798,982.90/13,821.68
  6. Step 6: Final answer
    x = 10,837.97

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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.