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Finding the Fourth Proportional to 16,233.56, 24,335.72 and 5,838

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Solution

The fourth proportional to 16,233.56, 24,335.72 and 5,838 is: 8,751.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,233.56 : 24,335.72 = 5,838 : x
  2. Step 2: Convert to fraction form
    16,233.56/24,335.72 = 5,838/x
  3. Step 3: Cross multiply
    16,233.56x = 24,335.72 × 5,838
  4. Step 4: Simplify right side
    16,233.56x = 142,071,933.36
  5. Step 5: Solve for x
    x = 142,071,933.36/16,233.56
  6. Step 6: Final answer
    x = 8,751.74

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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.