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Finding the Fourth Proportional to 16,476.59, 22,737.69 and 8,922.98

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Solution

The fourth proportional to 16,476.59, 22,737.69 and 8,922.98 is: 12,313.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,476.59 : 22,737.69 = 8,922.98 : x
  2. Step 2: Convert to fraction form
    16,476.59/22,737.69 = 8,922.98/x
  3. Step 3: Cross multiply
    16,476.59x = 22,737.69 × 8,922.98
  4. Step 4: Simplify right side
    16,476.59x = 202,887,953.12
  5. Step 5: Solve for x
    x = 202,887,953.12/16,476.59
  6. Step 6: Final answer
    x = 12,313.71

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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.