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Finding the Fourth Proportional to 19,494.32, 29,234.58 and 6,344.24

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Solution

The fourth proportional to 19,494.32, 29,234.58 and 6,344.24 is: 9,514.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,494.32 : 29,234.58 = 6,344.24 : x
  2. Step 2: Convert to fraction form
    19,494.32/29,234.58 = 6,344.24/x
  3. Step 3: Cross multiply
    19,494.32x = 29,234.58 × 6,344.24
  4. Step 4: Simplify right side
    19,494.32x = 185,471,191.82
  5. Step 5: Solve for x
    x = 185,471,191.82/19,494.32
  6. Step 6: Final answer
    x = 9,514.11

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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.