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Finding the Fourth Proportional to 22,938.32, 34,410.90 and 8,146.00

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Solution

The fourth proportional to 22,938.32, 34,410.90 and 8,146.00 is: 12,220.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,938.32 : 34,410.90 = 8,146.00 : x
  2. Step 2: Convert to fraction form
    22,938.32/34,410.90 = 8,146.00/x
  3. Step 3: Cross multiply
    22,938.32x = 34,410.90 × 8,146.00
  4. Step 4: Simplify right side
    22,938.32x = 280,311,135.92
  5. Step 5: Solve for x
    x = 280,311,135.92/22,938.32
  6. Step 6: Final answer
    x = 12,220.21

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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.