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Finding the Fourth Proportional to 13,876.51, 20,814.72 and 4,991.83

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Solution

The fourth proportional to 13,876.51, 20,814.72 and 4,991.83 is: 7,487.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,876.51 : 20,814.72 = 4,991.83 : x
  2. Step 2: Convert to fraction form
    13,876.51/20,814.72 = 4,991.83/x
  3. Step 3: Cross multiply
    13,876.51x = 20,814.72 × 4,991.83
  4. Step 4: Simplify right side
    13,876.51x = 103,903,543.74
  5. Step 5: Solve for x
    x = 103,903,543.74/13,876.51
  6. Step 6: Final answer
    x = 7,487.73

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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.