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Finding the Fourth Proportional to 12,284.52, 18,431.34 and 7,357.68

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Solution

The fourth proportional to 12,284.52, 18,431.34 and 7,357.68 is: 11,039.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,284.52 : 18,431.34 = 7,357.68 : x
  2. Step 2: Convert to fraction form
    12,284.52/18,431.34 = 7,357.68/x
  3. Step 3: Cross multiply
    12,284.52x = 18,431.34 × 7,357.68
  4. Step 4: Simplify right side
    12,284.52x = 135,611,901.69
  5. Step 5: Solve for x
    x = 135,611,901.69/12,284.52
  6. Step 6: Final answer
    x = 11,039.25

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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.