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Finding the Fourth Proportional to 20,170.05, 27,830.05 and 12,210.58

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Solution

The fourth proportional to 20,170.05, 27,830.05 and 12,210.58 is: 16,847.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,170.05 : 27,830.05 = 12,210.58 : x
  2. Step 2: Convert to fraction form
    20,170.05/27,830.05 = 12,210.58/x
  3. Step 3: Cross multiply
    20,170.05x = 27,830.05 × 12,210.58
  4. Step 4: Simplify right side
    20,170.05x = 339,821,051.93
  5. Step 5: Solve for x
    x = 339,821,051.93/20,170.05
  6. Step 6: Final answer
    x = 16,847.80

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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.