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Finding the Fourth Proportional to 16,810, 23,199.24 and 9,359.44

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Solution

The fourth proportional to 16,810, 23,199.24 and 9,359.44 is: 12,916.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,810 : 23,199.24 = 9,359.44 : x
  2. Step 2: Convert to fraction form
    16,810/23,199.24 = 9,359.44/x
  3. Step 3: Cross multiply
    16,810x = 23,199.24 × 9,359.44
  4. Step 4: Simplify right side
    16,810x = 217,131,894.83
  5. Step 5: Solve for x
    x = 217,131,894.83/16,810
  6. Step 6: Final answer
    x = 12,916.83

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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.