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Finding the Fourth Proportional to 13,012.88, 19,519.32 and 6,092.24

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Solution

The fourth proportional to 13,012.88, 19,519.32 and 6,092.24 is: 9,138.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,012.88 : 19,519.32 = 6,092.24 : x
  2. Step 2: Convert to fraction form
    13,012.88/19,519.32 = 6,092.24/x
  3. Step 3: Cross multiply
    13,012.88x = 19,519.32 × 6,092.24
  4. Step 4: Simplify right side
    13,012.88x = 118,916,382.08
  5. Step 5: Solve for x
    x = 118,916,382.08/13,012.88
  6. Step 6: Final answer
    x = 9,138.36

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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.