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Finding the Fourth Proportional to 14,809.60, 22,167.92 and 8,214.56

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Solution

The fourth proportional to 14,809.60, 22,167.92 and 8,214.56 is: 12,296.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,809.60 : 22,167.92 = 8,214.56 : x
  2. Step 2: Convert to fraction form
    14,809.60/22,167.92 = 8,214.56/x
  3. Step 3: Cross multiply
    14,809.60x = 22,167.92 × 8,214.56
  4. Step 4: Simplify right side
    14,809.60x = 182,099,708.92
  5. Step 5: Solve for x
    x = 182,099,708.92/14,809.60
  6. Step 6: Final answer
    x = 12,296.06

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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.