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Finding the Fourth Proportional to 13,813.40, 20,725.61 and 5,054.47

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Solution

The fourth proportional to 13,813.40, 20,725.61 and 5,054.47 is: 7,583.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,813.40 : 20,725.61 = 5,054.47 : x
  2. Step 2: Convert to fraction form
    13,813.40/20,725.61 = 5,054.47/x
  3. Step 3: Cross multiply
    13,813.40x = 20,725.61 × 5,054.47
  4. Step 4: Simplify right side
    13,813.40x = 104,756,896.89
  5. Step 5: Solve for x
    x = 104,756,896.89/13,813.40
  6. Step 6: Final answer
    x = 7,583.71

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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.