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Finding the Fourth Proportional to 12,367.18, 18,534.37 and 10,716

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Solution

The fourth proportional to 12,367.18, 18,534.37 and 10,716 is: 16,059.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,367.18 : 18,534.37 = 10,716 : x
  2. Step 2: Convert to fraction form
    12,367.18/18,534.37 = 10,716/x
  3. Step 3: Cross multiply
    12,367.18x = 18,534.37 × 10,716
  4. Step 4: Simplify right side
    12,367.18x = 198,614,308.92
  5. Step 5: Solve for x
    x = 198,614,308.92/12,367.18
  6. Step 6: Final answer
    x = 16,059.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.