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Finding the Fourth Proportional to 16,586.21, 22,889.41 and 9,032.85

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Solution

The fourth proportional to 16,586.21, 22,889.41 and 9,032.85 is: 12,465.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,586.21 : 22,889.41 = 9,032.85 : x
  2. Step 2: Convert to fraction form
    16,586.21/22,889.41 = 9,032.85/x
  3. Step 3: Cross multiply
    16,586.21x = 22,889.41 × 9,032.85
  4. Step 4: Simplify right side
    16,586.21x = 206,756,584.54
  5. Step 5: Solve for x
    x = 206,756,584.54/16,586.21
  6. Step 6: Final answer
    x = 12,465.57

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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.