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Finding the Fourth Proportional to 22,274.16, 30,737.16 and 12,200.64

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Solution

The fourth proportional to 22,274.16, 30,737.16 and 12,200.64 is: 16,836.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,274.16 : 30,737.16 = 12,200.64 : x
  2. Step 2: Convert to fraction form
    22,274.16/30,737.16 = 12,200.64/x
  3. Step 3: Cross multiply
    22,274.16x = 30,737.16 × 12,200.64
  4. Step 4: Simplify right side
    22,274.16x = 375,013,023.78
  5. Step 5: Solve for x
    x = 375,013,023.78/22,274.16
  6. Step 6: Final answer
    x = 16,836.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.