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Finding the Fourth Proportional to 17,714.70, 26,522.84 and 8,922.96

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Solution

The fourth proportional to 17,714.70, 26,522.84 and 8,922.96 is: 13,359.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,714.70 : 26,522.84 = 8,922.96 : x
  2. Step 2: Convert to fraction form
    17,714.70/26,522.84 = 8,922.96/x
  3. Step 3: Cross multiply
    17,714.70x = 26,522.84 × 8,922.96
  4. Step 4: Simplify right side
    17,714.70x = 236,662,262.71
  5. Step 5: Solve for x
    x = 236,662,262.71/17,714.70
  6. Step 6: Final answer
    x = 13,359.65

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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.