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Finding the Fourth Proportional to 16,223.68, 24,330.66 and 5,833

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Solution

The fourth proportional to 16,223.68, 24,330.66 and 5,833 is: 8,747.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,223.68 : 24,330.66 = 5,833 : x
  2. Step 2: Convert to fraction form
    16,223.68/24,330.66 = 5,833/x
  3. Step 3: Cross multiply
    16,223.68x = 24,330.66 × 5,833
  4. Step 4: Simplify right side
    16,223.68x = 141,920,739.78
  5. Step 5: Solve for x
    x = 141,920,739.78/16,223.68
  6. Step 6: Final answer
    x = 8,747.75

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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.