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Finding the Fourth Proportional to 19,497.54, 29,249.37 and 6,346.86

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Solution

The fourth proportional to 19,497.54, 29,249.37 and 6,346.86 is: 9,521.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,497.54 : 29,249.37 = 6,346.86 : x
  2. Step 2: Convert to fraction form
    19,497.54/29,249.37 = 6,346.86/x
  3. Step 3: Cross multiply
    19,497.54x = 29,249.37 × 6,346.86
  4. Step 4: Simplify right side
    19,497.54x = 185,641,656.48
  5. Step 5: Solve for x
    x = 185,641,656.48/19,497.54
  6. Step 6: Final answer
    x = 9,521.29

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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.