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Finding the Fourth Proportional to 22,300.12, 30,771.66 and 12,871.80

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Solution

The fourth proportional to 22,300.12, 30,771.66 and 12,871.80 is: 17,761.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,300.12 : 30,771.66 = 12,871.80 : x
  2. Step 2: Convert to fraction form
    22,300.12/30,771.66 = 12,871.80/x
  3. Step 3: Cross multiply
    22,300.12x = 30,771.66 × 12,871.80
  4. Step 4: Simplify right side
    22,300.12x = 396,086,653.19
  5. Step 5: Solve for x
    x = 396,086,653.19/22,300.12
  6. Step 6: Final answer
    x = 17,761.64

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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.