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Finding the Fourth Proportional to 17,404.78, 26,121.03 and 6,314.65

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Solution

The fourth proportional to 17,404.78, 26,121.03 and 6,314.65 is: 9,477.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,404.78 : 26,121.03 = 6,314.65 : x
  2. Step 2: Convert to fraction form
    17,404.78/26,121.03 = 6,314.65/x
  3. Step 3: Cross multiply
    17,404.78x = 26,121.03 × 6,314.65
  4. Step 4: Simplify right side
    17,404.78x = 164,945,162.09
  5. Step 5: Solve for x
    x = 164,945,162.09/17,404.78
  6. Step 6: Final answer
    x = 9,477.00

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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.