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Finding the Fourth Proportional to 13,321, 19,982.46 and 5,113

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Solution

The fourth proportional to 13,321, 19,982.46 and 5,113 is: 7,669.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,321 : 19,982.46 = 5,113 : x
  2. Step 2: Convert to fraction form
    13,321/19,982.46 = 5,113/x
  3. Step 3: Cross multiply
    13,321x = 19,982.46 × 5,113
  4. Step 4: Simplify right side
    13,321x = 102,170,317.98
  5. Step 5: Solve for x
    x = 102,170,317.98/13,321
  6. Step 6: Final answer
    x = 7,669.87

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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.