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Finding the Fourth Proportional to 13,442.32, 18,550.83 and 7,474.24

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Solution

The fourth proportional to 13,442.32, 18,550.83 and 7,474.24 is: 10,314.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,442.32 : 18,550.83 = 7,474.24 : x
  2. Step 2: Convert to fraction form
    13,442.32/18,550.83 = 7,474.24/x
  3. Step 3: Cross multiply
    13,442.32x = 18,550.83 × 7,474.24
  4. Step 4: Simplify right side
    13,442.32x = 138,653,355.62
  5. Step 5: Solve for x
    x = 138,653,355.62/13,442.32
  6. Step 6: Final answer
    x = 10,314.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.