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Finding the Fourth Proportional to 13,231.52, 19,847.28 and 10,312.02

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Solution

The fourth proportional to 13,231.52, 19,847.28 and 10,312.02 is: 15,468.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,231.52 : 19,847.28 = 10,312.02 : x
  2. Step 2: Convert to fraction form
    13,231.52/19,847.28 = 10,312.02/x
  3. Step 3: Cross multiply
    13,231.52x = 19,847.28 × 10,312.02
  4. Step 4: Simplify right side
    13,231.52x = 204,665,548.31
  5. Step 5: Solve for x
    x = 204,665,548.31/13,231.52
  6. Step 6: Final answer
    x = 15,468.03

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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.