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Finding the Fourth Proportional to 12,122, 16,731.08 and 7,409.04

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Solution

The fourth proportional to 12,122, 16,731.08 and 7,409.04 is: 10,226.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,122 : 16,731.08 = 7,409.04 : x
  2. Step 2: Convert to fraction form
    12,122/16,731.08 = 7,409.04/x
  3. Step 3: Cross multiply
    12,122x = 16,731.08 × 7,409.04
  4. Step 4: Simplify right side
    12,122x = 123,961,240.96
  5. Step 5: Solve for x
    x = 123,961,240.96/12,122
  6. Step 6: Final answer
    x = 10,226.14

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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.