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Finding the Fourth Proportional to 16,314.21, 22,515.41 and 9,144.81

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Solution

The fourth proportional to 16,314.21, 22,515.41 and 9,144.81 is: 12,620.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,314.21 : 22,515.41 = 9,144.81 : x
  2. Step 2: Convert to fraction form
    16,314.21/22,515.41 = 9,144.81/x
  3. Step 3: Cross multiply
    16,314.21x = 22,515.41 × 9,144.81
  4. Step 4: Simplify right side
    16,314.21x = 205,899,151.21
  5. Step 5: Solve for x
    x = 205,899,151.21/16,314.21
  6. Step 6: Final answer
    x = 12,620.85

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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.