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Finding the Fourth Proportional to 13,745.24, 18,969.24 and 7,777.50

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Solution

The fourth proportional to 13,745.24, 18,969.24 and 7,777.50 is: 10,733.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,745.24 : 18,969.24 = 7,777.50 : x
  2. Step 2: Convert to fraction form
    13,745.24/18,969.24 = 7,777.50/x
  3. Step 3: Cross multiply
    13,745.24x = 18,969.24 × 7,777.50
  4. Step 4: Simplify right side
    13,745.24x = 147,533,264.10
  5. Step 5: Solve for x
    x = 147,533,264.10/13,745.24
  6. Step 6: Final answer
    x = 10,733.41

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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.