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Finding the Fourth Proportional to 13,982.02, 20,973 and 9,586.14

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Solution

The fourth proportional to 13,982.02, 20,973 and 9,586.14 is: 14,379.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,982.02 : 20,973 = 9,586.14 : x
  2. Step 2: Convert to fraction form
    13,982.02/20,973 = 9,586.14/x
  3. Step 3: Cross multiply
    13,982.02x = 20,973 × 9,586.14
  4. Step 4: Simplify right side
    13,982.02x = 201,050,114.22
  5. Step 5: Solve for x
    x = 201,050,114.22/13,982.02
  6. Step 6: Final answer
    x = 14,379.19

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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.