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Finding the Fourth Proportional to 12,408.50, 17,124.54 and 7,695.92

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Solution

The fourth proportional to 12,408.50, 17,124.54 and 7,695.92 is: 10,620.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,408.50 : 17,124.54 = 7,695.92 : x
  2. Step 2: Convert to fraction form
    12,408.50/17,124.54 = 7,695.92/x
  3. Step 3: Cross multiply
    12,408.50x = 17,124.54 × 7,695.92
  4. Step 4: Simplify right side
    12,408.50x = 131,789,089.88
  5. Step 5: Solve for x
    x = 131,789,089.88/12,408.50
  6. Step 6: Final answer
    x = 10,620.87

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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.