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Finding the Fourth Proportional to 12,731.74, 19,073 and 7,168.18

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Solution

The fourth proportional to 12,731.74, 19,073 and 7,168.18 is: 10,738.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,731.74 : 19,073 = 7,168.18 : x
  2. Step 2: Convert to fraction form
    12,731.74/19,073 = 7,168.18/x
  3. Step 3: Cross multiply
    12,731.74x = 19,073 × 7,168.18
  4. Step 4: Simplify right side
    12,731.74x = 136,718,697.14
  5. Step 5: Solve for x
    x = 136,718,697.14/12,731.74
  6. Step 6: Final answer
    x = 10,738.41

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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.