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Finding the Fourth Proportional to 13,429.99, 20,147.15 and 5,641.03

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Solution

The fourth proportional to 13,429.99, 20,147.15 and 5,641.03 is: 8,462.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,429.99 : 20,147.15 = 5,641.03 : x
  2. Step 2: Convert to fraction form
    13,429.99/20,147.15 = 5,641.03/x
  3. Step 3: Cross multiply
    13,429.99x = 20,147.15 × 5,641.03
  4. Step 4: Simplify right side
    13,429.99x = 113,650,677.56
  5. Step 5: Solve for x
    x = 113,650,677.56/13,429.99
  6. Step 6: Final answer
    x = 8,462.45

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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.