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Finding the Fourth Proportional to 16,934.40, 23,365.80 and 9,859.86

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Solution

The fourth proportional to 16,934.40, 23,365.80 and 9,859.86 is: 13,604.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,934.40 : 23,365.80 = 9,859.86 : x
  2. Step 2: Convert to fraction form
    16,934.40/23,365.80 = 9,859.86/x
  3. Step 3: Cross multiply
    16,934.40x = 23,365.80 × 9,859.86
  4. Step 4: Simplify right side
    16,934.40x = 230,383,516.79
  5. Step 5: Solve for x
    x = 230,383,516.79/16,934.40
  6. Step 6: Final answer
    x = 13,604.47

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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.