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Finding the Fourth Proportional to 22,957.80, 34,428.60 and 8,167.20

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Solution

The fourth proportional to 22,957.80, 34,428.60 and 8,167.20 is: 12,247.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,957.80 : 34,428.60 = 8,167.20 : x
  2. Step 2: Convert to fraction form
    22,957.80/34,428.60 = 8,167.20/x
  3. Step 3: Cross multiply
    22,957.80x = 34,428.60 × 8,167.20
  4. Step 4: Simplify right side
    22,957.80x = 281,185,261.92
  5. Step 5: Solve for x
    x = 281,185,261.92/22,957.80
  6. Step 6: Final answer
    x = 12,247.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.