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Finding the Fourth Proportional to 14,761.98, 22,153.50 and 8,193.42

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Solution

The fourth proportional to 14,761.98, 22,153.50 and 8,193.42 is: 12,295.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,761.98 : 22,153.50 = 8,193.42 : x
  2. Step 2: Convert to fraction form
    14,761.98/22,153.50 = 8,193.42/x
  3. Step 3: Cross multiply
    14,761.98x = 22,153.50 × 8,193.42
  4. Step 4: Simplify right side
    14,761.98x = 181,512,929.97
  5. Step 5: Solve for x
    x = 181,512,929.97/14,761.98
  6. Step 6: Final answer
    x = 12,295.97

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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.