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Finding the Fourth Proportional to 16,216.72, 24,326.52 and 5,831.44

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Solution

The fourth proportional to 16,216.72, 24,326.52 and 5,831.44 is: 8,747.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,216.72 : 24,326.52 = 5,831.44 : x
  2. Step 2: Convert to fraction form
    16,216.72/24,326.52 = 5,831.44/x
  3. Step 3: Cross multiply
    16,216.72x = 24,326.52 × 5,831.44
  4. Step 4: Simplify right side
    16,216.72x = 141,858,641.79
  5. Step 5: Solve for x
    x = 141,858,641.79/16,216.72
  6. Step 6: Final answer
    x = 8,747.68

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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.