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Finding the Fourth Proportional to 13,475.64, 20,212.79 and 5,159.64

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Solution

The fourth proportional to 13,475.64, 20,212.79 and 5,159.64 is: 7,739.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,475.64 : 20,212.79 = 5,159.64 : x
  2. Step 2: Convert to fraction form
    13,475.64/20,212.79 = 5,159.64/x
  3. Step 3: Cross multiply
    13,475.64x = 20,212.79 × 5,159.64
  4. Step 4: Simplify right side
    13,475.64x = 104,290,694.00
  5. Step 5: Solve for x
    x = 104,290,694.00/13,475.64
  6. Step 6: Final answer
    x = 7,739.20

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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.