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Finding the Fourth Proportional to 16,840.86, 23,239.32 and 9,286.76

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Solution

The fourth proportional to 16,840.86, 23,239.32 and 9,286.76 is: 12,815.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,840.86 : 23,239.32 = 9,286.76 : x
  2. Step 2: Convert to fraction form
    16,840.86/23,239.32 = 9,286.76/x
  3. Step 3: Cross multiply
    16,840.86x = 23,239.32 × 9,286.76
  4. Step 4: Simplify right side
    16,840.86x = 215,817,987.40
  5. Step 5: Solve for x
    x = 215,817,987.40/16,840.86
  6. Step 6: Final answer
    x = 12,815.14

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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.