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Finding the Fourth Proportional to 16,505.50, 22,778.67 and 9,053.50

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Solution

The fourth proportional to 16,505.50, 22,778.67 and 9,053.50 is: 12,494.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,505.50 : 22,778.67 = 9,053.50 : x
  2. Step 2: Convert to fraction form
    16,505.50/22,778.67 = 9,053.50/x
  3. Step 3: Cross multiply
    16,505.50x = 22,778.67 × 9,053.50
  4. Step 4: Simplify right side
    16,505.50x = 206,226,688.85
  5. Step 5: Solve for x
    x = 206,226,688.85/16,505.50
  6. Step 6: Final answer
    x = 12,494.42

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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.