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Finding the Fourth Proportional to 16,431.93, 24,649.26 and 6,565.83

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Solution

The fourth proportional to 16,431.93, 24,649.26 and 6,565.83 is: 9,849.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,431.93 : 24,649.26 = 6,565.83 : x
  2. Step 2: Convert to fraction form
    16,431.93/24,649.26 = 6,565.83/x
  3. Step 3: Cross multiply
    16,431.93x = 24,649.26 × 6,565.83
  4. Step 4: Simplify right side
    16,431.93x = 161,842,850.79
  5. Step 5: Solve for x
    x = 161,842,850.79/16,431.93
  6. Step 6: Final answer
    x = 9,849.29

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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.