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Finding the Fourth Proportional to 16,591.24, 22,896.18 and 9,139.24

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Solution

The fourth proportional to 16,591.24, 22,896.18 and 9,139.24 is: 12,612.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,591.24 : 22,896.18 = 9,139.24 : x
  2. Step 2: Convert to fraction form
    16,591.24/22,896.18 = 9,139.24/x
  3. Step 3: Cross multiply
    16,591.24x = 22,896.18 × 9,139.24
  4. Step 4: Simplify right side
    16,591.24x = 209,253,684.10
  5. Step 5: Solve for x
    x = 209,253,684.10/16,591.24
  6. Step 6: Final answer
    x = 12,612.30

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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.