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Finding the Fourth Proportional to 14,648.96, 20,212.40 and 8,682.48

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Solution

The fourth proportional to 14,648.96, 20,212.40 and 8,682.48 is: 11,979.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,648.96 : 20,212.40 = 8,682.48 : x
  2. Step 2: Convert to fraction form
    14,648.96/20,212.40 = 8,682.48/x
  3. Step 3: Cross multiply
    14,648.96x = 20,212.40 × 8,682.48
  4. Step 4: Simplify right side
    14,648.96x = 175,493,758.75
  5. Step 5: Solve for x
    x = 175,493,758.75/14,648.96
  6. Step 6: Final answer
    x = 11,979.95

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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.