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Finding the Fourth Proportional to 17,704.16, 26,559 and 6,014.66

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Solution

The fourth proportional to 17,704.16, 26,559 and 6,014.66 is: 9,022.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,704.16 : 26,559 = 6,014.66 : x
  2. Step 2: Convert to fraction form
    17,704.16/26,559 = 6,014.66/x
  3. Step 3: Cross multiply
    17,704.16x = 26,559 × 6,014.66
  4. Step 4: Simplify right side
    17,704.16x = 159,743,354.94
  5. Step 5: Solve for x
    x = 159,743,354.94/17,704.16
  6. Step 6: Final answer
    x = 9,022.93

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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.