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Finding the Fourth Proportional to 13,810.68, 20,709.86 and 5,039.44

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Solution

The fourth proportional to 13,810.68, 20,709.86 and 5,039.44 is: 7,556.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,810.68 : 20,709.86 = 5,039.44 : x
  2. Step 2: Convert to fraction form
    13,810.68/20,709.86 = 5,039.44/x
  3. Step 3: Cross multiply
    13,810.68x = 20,709.86 × 5,039.44
  4. Step 4: Simplify right side
    13,810.68x = 104,366,019.91
  5. Step 5: Solve for x
    x = 104,366,019.91/13,810.68
  6. Step 6: Final answer
    x = 7,556.91

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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.