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Finding the Fourth Proportional to 13,199.36, 19,751.88 and 11,464.80

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Solution

The fourth proportional to 13,199.36, 19,751.88 and 11,464.80 is: 17,156.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,199.36 : 19,751.88 = 11,464.80 : x
  2. Step 2: Convert to fraction form
    13,199.36/19,751.88 = 11,464.80/x
  3. Step 3: Cross multiply
    13,199.36x = 19,751.88 × 11,464.80
  4. Step 4: Simplify right side
    13,199.36x = 226,451,353.82
  5. Step 5: Solve for x
    x = 226,451,353.82/13,199.36
  6. Step 6: Final answer
    x = 17,156.24

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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.