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Finding the Fourth Proportional to 19,497.31, 29,245.93 and 6,349.66

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Solution

The fourth proportional to 19,497.31, 29,245.93 and 6,349.66 is: 9,524.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,497.31 : 29,245.93 = 6,349.66 : x
  2. Step 2: Convert to fraction form
    19,497.31/29,245.93 = 6,349.66/x
  3. Step 3: Cross multiply
    19,497.31x = 29,245.93 × 6,349.66
  4. Step 4: Simplify right side
    19,497.31x = 185,701,711.88
  5. Step 5: Solve for x
    x = 185,701,711.88/19,497.31
  6. Step 6: Final answer
    x = 9,524.48

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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.