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Finding the Fourth Proportional to 16,409.50, 22,645.66 and 8,957.50

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Solution

The fourth proportional to 16,409.50, 22,645.66 and 8,957.50 is: 12,361.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,409.50 : 22,645.66 = 8,957.50 : x
  2. Step 2: Convert to fraction form
    16,409.50/22,645.66 = 8,957.50/x
  3. Step 3: Cross multiply
    16,409.50x = 22,645.66 × 8,957.50
  4. Step 4: Simplify right side
    16,409.50x = 202,848,499.45
  5. Step 5: Solve for x
    x = 202,848,499.45/16,409.50
  6. Step 6: Final answer
    x = 12,361.65

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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.