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Finding the Fourth Proportional to 16,586.76, 22,889.75 and 9,033.11

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Solution

The fourth proportional to 16,586.76, 22,889.75 and 9,033.11 is: 12,465.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,586.76 : 22,889.75 = 9,033.11 : x
  2. Step 2: Convert to fraction form
    16,586.76/22,889.75 = 9,033.11/x
  3. Step 3: Cross multiply
    16,586.76x = 22,889.75 × 9,033.11
  4. Step 4: Simplify right side
    16,586.76x = 206,765,629.62
  5. Step 5: Solve for x
    x = 206,765,629.62/16,586.76
  6. Step 6: Final answer
    x = 12,465.70

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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.