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Finding the Fourth Proportional to 13,105.95, 19,655.91 and 3,745.77

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Solution

The fourth proportional to 13,105.95, 19,655.91 and 3,745.77 is: 5,617.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,105.95 : 19,655.91 = 3,745.77 : x
  2. Step 2: Convert to fraction form
    13,105.95/19,655.91 = 3,745.77/x
  3. Step 3: Cross multiply
    13,105.95x = 19,655.91 × 3,745.77
  4. Step 4: Simplify right side
    13,105.95x = 73,626,518.00
  5. Step 5: Solve for x
    x = 73,626,518.00/13,105.95
  6. Step 6: Final answer
    x = 5,617.79

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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.