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Finding the Fourth Proportional to 14,262.26, 19,672.64 and 9,149.68

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Solution

The fourth proportional to 14,262.26, 19,672.64 and 9,149.68 is: 12,620.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,262.26 : 19,672.64 = 9,149.68 : x
  2. Step 2: Convert to fraction form
    14,262.26/19,672.64 = 9,149.68/x
  3. Step 3: Cross multiply
    14,262.26x = 19,672.64 × 9,149.68
  4. Step 4: Simplify right side
    14,262.26x = 179,998,360.76
  5. Step 5: Solve for x
    x = 179,998,360.76/14,262.26
  6. Step 6: Final answer
    x = 12,620.61

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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.