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Finding the Fourth Proportional to 13,609.25, 20,415.17 and 5,289.91

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Solution

The fourth proportional to 13,609.25, 20,415.17 and 5,289.91 is: 7,935.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,609.25 : 20,415.17 = 5,289.91 : x
  2. Step 2: Convert to fraction form
    13,609.25/20,415.17 = 5,289.91/x
  3. Step 3: Cross multiply
    13,609.25x = 20,415.17 × 5,289.91
  4. Step 4: Simplify right side
    13,609.25x = 107,994,411.93
  5. Step 5: Solve for x
    x = 107,994,411.93/13,609.25
  6. Step 6: Final answer
    x = 7,935.37

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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.