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Finding the Fourth Proportional to 14,835.92, 20,472.34 and 8,462.48

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Solution

The fourth proportional to 14,835.92, 20,472.34 and 8,462.48 is: 11,677.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,835.92 : 20,472.34 = 8,462.48 : x
  2. Step 2: Convert to fraction form
    14,835.92/20,472.34 = 8,462.48/x
  3. Step 3: Cross multiply
    14,835.92x = 20,472.34 × 8,462.48
  4. Step 4: Simplify right side
    14,835.92x = 173,246,767.80
  5. Step 5: Solve for x
    x = 173,246,767.80/14,835.92
  6. Step 6: Final answer
    x = 11,677.52

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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.