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Finding the Fourth Proportional to 16,188.39, 22,340.69 and 9,114.81

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Solution

The fourth proportional to 16,188.39, 22,340.69 and 9,114.81 is: 12,578.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,188.39 : 22,340.69 = 9,114.81 : x
  2. Step 2: Convert to fraction form
    16,188.39/22,340.69 = 9,114.81/x
  3. Step 3: Cross multiply
    16,188.39x = 22,340.69 × 9,114.81
  4. Step 4: Simplify right side
    16,188.39x = 203,631,099.04
  5. Step 5: Solve for x
    x = 203,631,099.04/16,188.39
  6. Step 6: Final answer
    x = 12,578.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.