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Finding the Fourth Proportional to 12,911.22, 17,816.85 and 7,321.14

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Solution

The fourth proportional to 12,911.22, 17,816.85 and 7,321.14 is: 10,102.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,911.22 : 17,816.85 = 7,321.14 : x
  2. Step 2: Convert to fraction form
    12,911.22/17,816.85 = 7,321.14/x
  3. Step 3: Cross multiply
    12,911.22x = 17,816.85 × 7,321.14
  4. Step 4: Simplify right side
    12,911.22x = 130,439,653.21
  5. Step 5: Solve for x
    x = 130,439,653.21/12,911.22
  6. Step 6: Final answer
    x = 10,102.81

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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.