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Finding the Fourth Proportional to 24,658, 36,991.86 and 8,016.96

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Solution

The fourth proportional to 24,658, 36,991.86 and 8,016.96 is: 12,027.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,658 : 36,991.86 = 8,016.96 : x
  2. Step 2: Convert to fraction form
    24,658/36,991.86 = 8,016.96/x
  3. Step 3: Cross multiply
    24,658x = 36,991.86 × 8,016.96
  4. Step 4: Simplify right side
    24,658x = 296,562,261.95
  5. Step 5: Solve for x
    x = 296,562,261.95/24,658
  6. Step 6: Final answer
    x = 12,027.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.