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Finding the Fourth Proportional to 16,092, 22,207.77 and 9,283.50

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Solution

The fourth proportional to 16,092, 22,207.77 and 9,283.50 is: 12,811.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,092 : 22,207.77 = 9,283.50 : x
  2. Step 2: Convert to fraction form
    16,092/22,207.77 = 9,283.50/x
  3. Step 3: Cross multiply
    16,092x = 22,207.77 × 9,283.50
  4. Step 4: Simplify right side
    16,092x = 206,165,832.80
  5. Step 5: Solve for x
    x = 206,165,832.80/16,092
  6. Step 6: Final answer
    x = 12,811.70

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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.