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Finding the Fourth Proportional to 16,169.22, 22,314.60 and 9,364.14

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Solution

The fourth proportional to 16,169.22, 22,314.60 and 9,364.14 is: 12,923.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,169.22 : 22,314.60 = 9,364.14 : x
  2. Step 2: Convert to fraction form
    16,169.22/22,314.60 = 9,364.14/x
  3. Step 3: Cross multiply
    16,169.22x = 22,314.60 × 9,364.14
  4. Step 4: Simplify right side
    16,169.22x = 208,957,038.44
  5. Step 5: Solve for x
    x = 208,957,038.44/16,169.22
  6. Step 6: Final answer
    x = 12,923.14

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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.