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Finding the Fourth Proportional to 15,883.82, 21,919.33 and 9,832.45

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Solution

The fourth proportional to 15,883.82, 21,919.33 and 9,832.45 is: 13,568.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,883.82 : 21,919.33 = 9,832.45 : x
  2. Step 2: Convert to fraction form
    15,883.82/21,919.33 = 9,832.45/x
  3. Step 3: Cross multiply
    15,883.82x = 21,919.33 × 9,832.45
  4. Step 4: Simplify right side
    15,883.82x = 215,520,716.26
  5. Step 5: Solve for x
    x = 215,520,716.26/15,883.82
  6. Step 6: Final answer
    x = 13,568.57

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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.