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Finding the Fourth Proportional to 16,228.54, 24,328.23 and 5,833

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Solution

The fourth proportional to 16,228.54, 24,328.23 and 5,833 is: 8,744.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,228.54 : 24,328.23 = 5,833 : x
  2. Step 2: Convert to fraction form
    16,228.54/24,328.23 = 5,833/x
  3. Step 3: Cross multiply
    16,228.54x = 24,328.23 × 5,833
  4. Step 4: Simplify right side
    16,228.54x = 141,906,565.59
  5. Step 5: Solve for x
    x = 141,906,565.59/16,228.54
  6. Step 6: Final answer
    x = 8,744.26

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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.