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Finding the Fourth Proportional to 19,691.12, 29,519.16 and 7,202.48

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Solution

The fourth proportional to 19,691.12, 29,519.16 and 7,202.48 is: 10,797.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,691.12 : 29,519.16 = 7,202.48 : x
  2. Step 2: Convert to fraction form
    19,691.12/29,519.16 = 7,202.48/x
  3. Step 3: Cross multiply
    19,691.12x = 29,519.16 × 7,202.48
  4. Step 4: Simplify right side
    19,691.12x = 212,611,159.52
  5. Step 5: Solve for x
    x = 212,611,159.52/19,691.12
  6. Step 6: Final answer
    x = 10,797.31

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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.