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Finding the Fourth Proportional to 16,366.25, 22,585.43 and 8,914.25

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Solution

The fourth proportional to 16,366.25, 22,585.43 and 8,914.25 is: 12,301.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,366.25 : 22,585.43 = 8,914.25 : x
  2. Step 2: Convert to fraction form
    16,366.25/22,585.43 = 8,914.25/x
  3. Step 3: Cross multiply
    16,366.25x = 22,585.43 × 8,914.25
  4. Step 4: Simplify right side
    16,366.25x = 201,332,169.38
  5. Step 5: Solve for x
    x = 201,332,169.38/16,366.25
  6. Step 6: Final answer
    x = 12,301.67

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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.