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Finding the Fourth Proportional to 21,142.42, 29,169.92 and 12,188.71

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Solution

The fourth proportional to 21,142.42, 29,169.92 and 12,188.71 is: 16,816.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,142.42 : 29,169.92 = 12,188.71 : x
  2. Step 2: Convert to fraction form
    21,142.42/29,169.92 = 12,188.71/x
  3. Step 3: Cross multiply
    21,142.42x = 29,169.92 × 12,188.71
  4. Step 4: Simplify right side
    21,142.42x = 355,543,762.54
  5. Step 5: Solve for x
    x = 355,543,762.54/21,142.42
  6. Step 6: Final answer
    x = 16,816.61

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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.