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Finding the Fourth Proportional to 22,145.64, 30,560.98 and 12,209.64

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Solution

The fourth proportional to 22,145.64, 30,560.98 and 12,209.64 is: 16,849.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,145.64 : 30,560.98 = 12,209.64 : x
  2. Step 2: Convert to fraction form
    22,145.64/30,560.98 = 12,209.64/x
  3. Step 3: Cross multiply
    22,145.64x = 30,560.98 × 12,209.64
  4. Step 4: Simplify right side
    22,145.64x = 373,138,563.85
  5. Step 5: Solve for x
    x = 373,138,563.85/22,145.64
  6. Step 6: Final answer
    x = 16,849.30

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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.