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Finding the Fourth Proportional to 13,163.85, 19,749.23 and 4,731.20

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Solution

The fourth proportional to 13,163.85, 19,749.23 and 4,731.20 is: 7,098.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,163.85 : 19,749.23 = 4,731.20 : x
  2. Step 2: Convert to fraction form
    13,163.85/19,749.23 = 4,731.20/x
  3. Step 3: Cross multiply
    13,163.85x = 19,749.23 × 4,731.20
  4. Step 4: Simplify right side
    13,163.85x = 93,437,618.18
  5. Step 5: Solve for x
    x = 93,437,618.18/13,163.85
  6. Step 6: Final answer
    x = 7,098.05

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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.