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Finding the Fourth Proportional to 13,236.84, 19,854.54 and 3,876.48

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Solution

The fourth proportional to 13,236.84, 19,854.54 and 3,876.48 is: 5,814.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,236.84 : 19,854.54 = 3,876.48 : x
  2. Step 2: Convert to fraction form
    13,236.84/19,854.54 = 3,876.48/x
  3. Step 3: Cross multiply
    13,236.84x = 19,854.54 × 3,876.48
  4. Step 4: Simplify right side
    13,236.84x = 76,965,727.22
  5. Step 5: Solve for x
    x = 76,965,727.22/13,236.84
  6. Step 6: Final answer
    x = 5,814.51

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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.