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Finding the Fourth Proportional to 14,673.84, 20,249.55 and 8,125.16

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Solution

The fourth proportional to 14,673.84, 20,249.55 and 8,125.16 is: 11,212.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,673.84 : 20,249.55 = 8,125.16 : x
  2. Step 2: Convert to fraction form
    14,673.84/20,249.55 = 8,125.16/x
  3. Step 3: Cross multiply
    14,673.84x = 20,249.55 × 8,125.16
  4. Step 4: Simplify right side
    14,673.84x = 164,530,732.43
  5. Step 5: Solve for x
    x = 164,530,732.43/14,673.84
  6. Step 6: Final answer
    x = 11,212.52

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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.