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Finding the Fourth Proportional to 12,400.29, 18,603.27 and 3,635.87

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Solution

The fourth proportional to 12,400.29, 18,603.27 and 3,635.87 is: 5,454.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,400.29 : 18,603.27 = 3,635.87 : x
  2. Step 2: Convert to fraction form
    12,400.29/18,603.27 = 3,635.87/x
  3. Step 3: Cross multiply
    12,400.29x = 18,603.27 × 3,635.87
  4. Step 4: Simplify right side
    12,400.29x = 67,638,978.28
  5. Step 5: Solve for x
    x = 67,638,978.28/12,400.29
  6. Step 6: Final answer
    x = 5,454.63

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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.