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Finding the Fourth Proportional to 14,512.96, 21,766.20 and 5,749.84

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Solution

The fourth proportional to 14,512.96, 21,766.20 and 5,749.84 is: 8,623.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,512.96 : 21,766.20 = 5,749.84 : x
  2. Step 2: Convert to fraction form
    14,512.96/21,766.20 = 5,749.84/x
  3. Step 3: Cross multiply
    14,512.96x = 21,766.20 × 5,749.84
  4. Step 4: Simplify right side
    14,512.96x = 125,152,167.41
  5. Step 5: Solve for x
    x = 125,152,167.41/14,512.96
  6. Step 6: Final answer
    x = 8,623.48

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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.