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Finding the Fourth Proportional to 17,606, 24,296.68 and 9,647.76

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Solution

The fourth proportional to 17,606, 24,296.68 and 9,647.76 is: 13,314.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,606 : 24,296.68 = 9,647.76 : x
  2. Step 2: Convert to fraction form
    17,606/24,296.68 = 9,647.76/x
  3. Step 3: Cross multiply
    17,606x = 24,296.68 × 9,647.76
  4. Step 4: Simplify right side
    17,606x = 234,408,537.44
  5. Step 5: Solve for x
    x = 234,408,537.44/17,606
  6. Step 6: Final answer
    x = 13,314.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.