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Finding the Fourth Proportional to 14,902.74, 22,354.10 and 3,809.44

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Solution

The fourth proportional to 14,902.74, 22,354.10 and 3,809.44 is: 5,714.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,902.74 : 22,354.10 = 3,809.44 : x
  2. Step 2: Convert to fraction form
    14,902.74/22,354.10 = 3,809.44/x
  3. Step 3: Cross multiply
    14,902.74x = 22,354.10 × 3,809.44
  4. Step 4: Simplify right side
    14,902.74x = 85,156,602.70
  5. Step 5: Solve for x
    x = 85,156,602.70/14,902.74
  6. Step 6: Final answer
    x = 5,714.16

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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.