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Finding the Fourth Proportional to 17,408.34, 24,027.30 and 10,697.49

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Solution

The fourth proportional to 17,408.34, 24,027.30 and 10,697.49 is: 14,764.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,408.34 : 24,027.30 = 10,697.49 : x
  2. Step 2: Convert to fraction form
    17,408.34/24,027.30 = 10,697.49/x
  3. Step 3: Cross multiply
    17,408.34x = 24,027.30 × 10,697.49
  4. Step 4: Simplify right side
    17,408.34x = 257,031,801.48
  5. Step 5: Solve for x
    x = 257,031,801.48/17,408.34
  6. Step 6: Final answer
    x = 14,764.87

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