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Finding the Fourth Proportional to 18,284.96, 27,406.70 and 8,403.82

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Solution

The fourth proportional to 18,284.96, 27,406.70 and 8,403.82 is: 12,596.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,284.96 : 27,406.70 = 8,403.82 : x
  2. Step 2: Convert to fraction form
    18,284.96/27,406.70 = 8,403.82/x
  3. Step 3: Cross multiply
    18,284.96x = 27,406.70 × 8,403.82
  4. Step 4: Simplify right side
    18,284.96x = 230,320,973.59
  5. Step 5: Solve for x
    x = 230,320,973.59/18,284.96
  6. Step 6: Final answer
    x = 12,596.20

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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.