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Finding the Fourth Proportional to 16,793.16, 23,177.16 and 10,420.89

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Solution

The fourth proportional to 16,793.16, 23,177.16 and 10,420.89 is: 14,382.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,793.16 : 23,177.16 = 10,420.89 : x
  2. Step 2: Convert to fraction form
    16,793.16/23,177.16 = 10,420.89/x
  3. Step 3: Cross multiply
    16,793.16x = 23,177.16 × 10,420.89
  4. Step 4: Simplify right side
    16,793.16x = 241,526,634.87
  5. Step 5: Solve for x
    x = 241,526,634.87/16,793.16
  6. Step 6: Final answer
    x = 14,382.44

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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.