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Finding the Fourth Proportional to 19,822.40, 29,737.92 and 8,141.12

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Solution

The fourth proportional to 19,822.40, 29,737.92 and 8,141.12 is: 12,213.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,822.40 : 29,737.92 = 8,141.12 : x
  2. Step 2: Convert to fraction form
    19,822.40/29,737.92 = 8,141.12/x
  3. Step 3: Cross multiply
    19,822.40x = 29,737.92 × 8,141.12
  4. Step 4: Simplify right side
    19,822.40x = 242,099,975.27
  5. Step 5: Solve for x
    x = 242,099,975.27/19,822.40
  6. Step 6: Final answer
    x = 12,213.45

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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.