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Finding the Fourth Proportional to 16,842.93, 23,243.42 and 9,289.58

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Solution

The fourth proportional to 16,842.93, 23,243.42 and 9,289.58 is: 12,819.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,842.93 : 23,243.42 = 9,289.58 : x
  2. Step 2: Convert to fraction form
    16,842.93/23,243.42 = 9,289.58/x
  3. Step 3: Cross multiply
    16,842.93x = 23,243.42 × 9,289.58
  4. Step 4: Simplify right side
    16,842.93x = 215,921,493.35
  5. Step 5: Solve for x
    x = 215,921,493.35/16,842.93
  6. Step 6: Final answer
    x = 12,819.71

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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.