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Finding the Fourth Proportional to 13,115.32, 19,672.86 and 5,322.28

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Solution

The fourth proportional to 13,115.32, 19,672.86 and 5,322.28 is: 7,983.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,115.32 : 19,672.86 = 5,322.28 : x
  2. Step 2: Convert to fraction form
    13,115.32/19,672.86 = 5,322.28/x
  3. Step 3: Cross multiply
    13,115.32x = 19,672.86 × 5,322.28
  4. Step 4: Simplify right side
    13,115.32x = 104,704,469.32
  5. Step 5: Solve for x
    x = 104,704,469.32/13,115.32
  6. Step 6: Final answer
    x = 7,983.37

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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.