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Finding the Fourth Proportional to 16,591.23, 22,895.89 and 9,139.23

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Solution

The fourth proportional to 16,591.23, 22,895.89 and 9,139.23 is: 12,612.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,591.23 : 22,895.89 = 9,139.23 : x
  2. Step 2: Convert to fraction form
    16,591.23/22,895.89 = 9,139.23/x
  3. Step 3: Cross multiply
    16,591.23x = 22,895.89 × 9,139.23
  4. Step 4: Simplify right side
    16,591.23x = 209,250,781.92
  5. Step 5: Solve for x
    x = 209,250,781.92/16,591.23
  6. Step 6: Final answer
    x = 12,612.13

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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.