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Finding the Fourth Proportional to 13,924.32, 20,891.16 and 5,159.94

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Solution

The fourth proportional to 13,924.32, 20,891.16 and 5,159.94 is: 7,741.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,924.32 : 20,891.16 = 5,159.94 : x
  2. Step 2: Convert to fraction form
    13,924.32/20,891.16 = 5,159.94/x
  3. Step 3: Cross multiply
    13,924.32x = 20,891.16 × 5,159.94
  4. Step 4: Simplify right side
    13,924.32x = 107,797,132.13
  5. Step 5: Solve for x
    x = 107,797,132.13/13,924.32
  6. Step 6: Final answer
    x = 7,741.64

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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.