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Finding the Fourth Proportional to 16,910.61, 23,342.40 and 9,842.97

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Solution

The fourth proportional to 16,910.61, 23,342.40 and 9,842.97 is: 13,586.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,910.61 : 23,342.40 = 9,842.97 : x
  2. Step 2: Convert to fraction form
    16,910.61/23,342.40 = 9,842.97/x
  3. Step 3: Cross multiply
    16,910.61x = 23,342.40 × 9,842.97
  4. Step 4: Simplify right side
    16,910.61x = 229,758,542.93
  5. Step 5: Solve for x
    x = 229,758,542.93/16,910.61
  6. Step 6: Final answer
    x = 13,586.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.