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Finding the Fourth Proportional to 13,813.26, 20,720.04 and 7,569.87

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Solution

The fourth proportional to 13,813.26, 20,720.04 and 7,569.87 is: 11,354.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,813.26 : 20,720.04 = 7,569.87 : x
  2. Step 2: Convert to fraction form
    13,813.26/20,720.04 = 7,569.87/x
  3. Step 3: Cross multiply
    13,813.26x = 20,720.04 × 7,569.87
  4. Step 4: Simplify right side
    13,813.26x = 156,848,042.07
  5. Step 5: Solve for x
    x = 156,848,042.07/13,813.26
  6. Step 6: Final answer
    x = 11,354.89

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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.