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Finding the Fourth Proportional to 24,652.92, 36,985.22 and 8,012.96

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Solution

The fourth proportional to 24,652.92, 36,985.22 and 8,012.96 is: 12,021.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,652.92 : 36,985.22 = 8,012.96 : x
  2. Step 2: Convert to fraction form
    24,652.92/36,985.22 = 8,012.96/x
  3. Step 3: Cross multiply
    24,652.92x = 36,985.22 × 8,012.96
  4. Step 4: Simplify right side
    24,652.92x = 296,361,088.45
  5. Step 5: Solve for x
    x = 296,361,088.45/24,652.92
  6. Step 6: Final answer
    x = 12,021.34

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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.