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Finding the Fourth Proportional to 17,809.50, 26,714.30 and 7,421.25

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Solution

The fourth proportional to 17,809.50, 26,714.30 and 7,421.25 is: 11,131.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,809.50 : 26,714.30 = 7,421.25 : x
  2. Step 2: Convert to fraction form
    17,809.50/26,714.30 = 7,421.25/x
  3. Step 3: Cross multiply
    17,809.50x = 26,714.30 × 7,421.25
  4. Step 4: Simplify right side
    17,809.50x = 198,253,461.77
  5. Step 5: Solve for x
    x = 198,253,461.77/17,809.50
  6. Step 6: Final answer
    x = 11,131.89

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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.