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Finding the Fourth Proportional to 13,411.70, 18,503.85 and 7,745.69

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Solution

The fourth proportional to 13,411.70, 18,503.85 and 7,745.69 is: 10,686.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,411.70 : 18,503.85 = 7,745.69 : x
  2. Step 2: Convert to fraction form
    13,411.70/18,503.85 = 7,745.69/x
  3. Step 3: Cross multiply
    13,411.70x = 18,503.85 × 7,745.69
  4. Step 4: Simplify right side
    13,411.70x = 143,325,161.21
  5. Step 5: Solve for x
    x = 143,325,161.21/13,411.70
  6. Step 6: Final answer
    x = 10,686.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.