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Finding the Fourth Proportional to 17,809.75, 26,714.67 and 7,421.50

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Solution

The fourth proportional to 17,809.75, 26,714.67 and 7,421.50 is: 11,132.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,809.75 : 26,714.67 = 7,421.50 : x
  2. Step 2: Convert to fraction form
    17,809.75/26,714.67 = 7,421.50/x
  3. Step 3: Cross multiply
    17,809.75x = 26,714.67 × 7,421.50
  4. Step 4: Simplify right side
    17,809.75x = 198,262,923.41
  5. Step 5: Solve for x
    x = 198,262,923.41/17,809.75
  6. Step 6: Final answer
    x = 11,132.27

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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.