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Finding the Fourth Proportional to 17,809.50, 26,714.61 and 5,497.50

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Solution

The fourth proportional to 17,809.50, 26,714.61 and 5,497.50 is: 8,246.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,809.50 : 26,714.61 = 5,497.50 : x
  2. Step 2: Convert to fraction form
    17,809.50/26,714.61 = 5,497.50/x
  3. Step 3: Cross multiply
    17,809.50x = 26,714.61 × 5,497.50
  4. Step 4: Simplify right side
    17,809.50x = 146,863,568.48
  5. Step 5: Solve for x
    x = 146,863,568.48/17,809.50
  6. Step 6: Final answer
    x = 8,246.36

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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.