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Finding the Fourth Proportional to 16,178.50, 22,323.90 and 9,104.78

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Solution

The fourth proportional to 16,178.50, 22,323.90 and 9,104.78 is: 12,563.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,178.50 : 22,323.90 = 9,104.78 : x
  2. Step 2: Convert to fraction form
    16,178.50/22,323.90 = 9,104.78/x
  3. Step 3: Cross multiply
    16,178.50x = 22,323.90 × 9,104.78
  4. Step 4: Simplify right side
    16,178.50x = 203,254,198.24
  5. Step 5: Solve for x
    x = 203,254,198.24/16,178.50
  6. Step 6: Final answer
    x = 12,563.23

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1.5x scale

Why These Related Problems?

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