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Finding the Fourth Proportional to 22,106.86, 30,507.14 and 12,170.86

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Solution

The fourth proportional to 22,106.86, 30,507.14 and 12,170.86 is: 16,795.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,106.86 : 30,507.14 = 12,170.86 : x
  2. Step 2: Convert to fraction form
    22,106.86/30,507.14 = 12,170.86/x
  3. Step 3: Cross multiply
    22,106.86x = 30,507.14 × 12,170.86
  4. Step 4: Simplify right side
    22,106.86x = 371,298,129.94
  5. Step 5: Solve for x
    x = 371,298,129.94/22,106.86
  6. Step 6: Final answer
    x = 16,795.61

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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.