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Finding the Fourth Proportional to 24,666.87, 36,991.93 and 8,022.77

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Solution

The fourth proportional to 24,666.87, 36,991.93 and 8,022.77 is: 12,031.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,666.87 : 36,991.93 = 8,022.77 : x
  2. Step 2: Convert to fraction form
    24,666.87/36,991.93 = 8,022.77/x
  3. Step 3: Cross multiply
    24,666.87x = 36,991.93 × 8,022.77
  4. Step 4: Simplify right side
    24,666.87x = 296,777,787.75
  5. Step 5: Solve for x
    x = 296,777,787.75/24,666.87
  6. Step 6: Final answer
    x = 12,031.43

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1.5x scale

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.