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Finding the Fourth Proportional to 12,406.96, 17,122.12 and 6,818

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Solution

The fourth proportional to 12,406.96, 17,122.12 and 6,818 is: 9,409.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,406.96 : 17,122.12 = 6,818 : x
  2. Step 2: Convert to fraction form
    12,406.96/17,122.12 = 6,818/x
  3. Step 3: Cross multiply
    12,406.96x = 17,122.12 × 6,818
  4. Step 4: Simplify right side
    12,406.96x = 116,738,614.16
  5. Step 5: Solve for x
    x = 116,738,614.16/12,406.96
  6. Step 6: Final answer
    x = 9,409.12

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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.