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Finding the Fourth Proportional to 13,917.35, 20,878.18 and 4,682.63

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Solution

The fourth proportional to 13,917.35, 20,878.18 and 4,682.63 is: 7,024.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,917.35 : 20,878.18 = 4,682.63 : x
  2. Step 2: Convert to fraction form
    13,917.35/20,878.18 = 4,682.63/x
  3. Step 3: Cross multiply
    13,917.35x = 20,878.18 × 4,682.63
  4. Step 4: Simplify right side
    13,917.35x = 97,764,675.92
  5. Step 5: Solve for x
    x = 97,764,675.92/13,917.35
  6. Step 6: Final answer
    x = 7,024.66

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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.