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Finding the Fourth Proportional to 13,412.25, 20,111.83 and 4,050.47

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Solution

The fourth proportional to 13,412.25, 20,111.83 and 4,050.47 is: 6,073.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,412.25 : 20,111.83 = 4,050.47 : x
  2. Step 2: Convert to fraction form
    13,412.25/20,111.83 = 4,050.47/x
  3. Step 3: Cross multiply
    13,412.25x = 20,111.83 × 4,050.47
  4. Step 4: Simplify right side
    13,412.25x = 81,462,404.21
  5. Step 5: Solve for x
    x = 81,462,404.21/13,412.25
  6. Step 6: Final answer
    x = 6,073.73

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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.