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Finding the Fourth Proportional to 13,917.84, 20,877.03 and 4,057.17

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Solution

The fourth proportional to 13,917.84, 20,877.03 and 4,057.17 is: 6,085.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,917.84 : 20,877.03 = 4,057.17 : x
  2. Step 2: Convert to fraction form
    13,917.84/20,877.03 = 4,057.17/x
  3. Step 3: Cross multiply
    13,917.84x = 20,877.03 × 4,057.17
  4. Step 4: Simplify right side
    13,917.84x = 84,701,659.81
  5. Step 5: Solve for x
    x = 84,701,659.81/13,917.84
  6. Step 6: Final answer
    x = 6,085.83

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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.