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Finding the Fourth Proportional to 21,496.79, 32,257.49 and 8,347.46

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Solution

The fourth proportional to 21,496.79, 32,257.49 and 8,347.46 is: 12,525.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,496.79 : 32,257.49 = 8,347.46 : x
  2. Step 2: Convert to fraction form
    21,496.79/32,257.49 = 8,347.46/x
  3. Step 3: Cross multiply
    21,496.79x = 32,257.49 × 8,347.46
  4. Step 4: Simplify right side
    21,496.79x = 269,267,951.41
  5. Step 5: Solve for x
    x = 269,267,951.41/21,496.79
  6. Step 6: Final answer
    x = 12,525.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.