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Finding the Fourth Proportional to 17,835.08, 24,616.50 and 11,867

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Solution

The fourth proportional to 17,835.08, 24,616.50 and 11,867 is: 16,379.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,835.08 : 24,616.50 = 11,867 : x
  2. Step 2: Convert to fraction form
    17,835.08/24,616.50 = 11,867/x
  3. Step 3: Cross multiply
    17,835.08x = 24,616.50 × 11,867
  4. Step 4: Simplify right side
    17,835.08x = 292,124,005.50
  5. Step 5: Solve for x
    x = 292,124,005.50/17,835.08
  6. Step 6: Final answer
    x = 16,379.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.