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Finding the Fourth Proportional to 11,714.85, 17,572.29 and 2,949.70

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Solution

The fourth proportional to 11,714.85, 17,572.29 and 2,949.70 is: 4,424.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,714.85 : 17,572.29 = 2,949.70 : x
  2. Step 2: Convert to fraction form
    11,714.85/17,572.29 = 2,949.70/x
  3. Step 3: Cross multiply
    11,714.85x = 17,572.29 × 2,949.70
  4. Step 4: Simplify right side
    11,714.85x = 51,832,983.81
  5. Step 5: Solve for x
    x = 51,832,983.81/11,714.85
  6. Step 6: Final answer
    x = 4,424.55

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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.