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Finding the Fourth Proportional to 17,408.50, 24,023.76 and 9,956.50

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Solution

The fourth proportional to 17,408.50, 24,023.76 and 9,956.50 is: 13,739.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,408.50 : 24,023.76 = 9,956.50 : x
  2. Step 2: Convert to fraction form
    17,408.50/24,023.76 = 9,956.50/x
  3. Step 3: Cross multiply
    17,408.50x = 24,023.76 × 9,956.50
  4. Step 4: Simplify right side
    17,408.50x = 239,192,566.44
  5. Step 5: Solve for x
    x = 239,192,566.44/17,408.50
  6. Step 6: Final answer
    x = 13,739.99

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1.5x scale

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.