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Finding the Fourth Proportional to 10,195.74, 15,272.84 and 9,345.24

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Solution

The fourth proportional to 10,195.74, 15,272.84 and 9,345.24 is: 13,998.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,195.74 : 15,272.84 = 9,345.24 : x
  2. Step 2: Convert to fraction form
    10,195.74/15,272.84 = 9,345.24/x
  3. Step 3: Cross multiply
    10,195.74x = 15,272.84 × 9,345.24
  4. Step 4: Simplify right side
    10,195.74x = 142,728,355.28
  5. Step 5: Solve for x
    x = 142,728,355.28/10,195.74
  6. Step 6: Final answer
    x = 13,998.82

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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.