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Finding the Fourth Proportional to 16,220.50, 22,384.32 and 8,768.50

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Solution

The fourth proportional to 16,220.50, 22,384.32 and 8,768.50 is: 12,100.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,220.50 : 22,384.32 = 8,768.50 : x
  2. Step 2: Convert to fraction form
    16,220.50/22,384.32 = 8,768.50/x
  3. Step 3: Cross multiply
    16,220.50x = 22,384.32 × 8,768.50
  4. Step 4: Simplify right side
    16,220.50x = 196,276,909.92
  5. Step 5: Solve for x
    x = 196,276,909.92/16,220.50
  6. Step 6: Final answer
    x = 12,100.55

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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.