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Finding the Fourth Proportional to 16,859.14, 23,263.81 and 9,687.60

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Solution

The fourth proportional to 16,859.14, 23,263.81 and 9,687.60 is: 13,367.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,859.14 : 23,263.81 = 9,687.60 : x
  2. Step 2: Convert to fraction form
    16,859.14/23,263.81 = 9,687.60/x
  3. Step 3: Cross multiply
    16,859.14x = 23,263.81 × 9,687.60
  4. Step 4: Simplify right side
    16,859.14x = 225,370,461.54
  5. Step 5: Solve for x
    x = 225,370,461.54/16,859.14
  6. Step 6: Final answer
    x = 13,367.85

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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.