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Finding the Fourth Proportional to 12,940.74, 17,856.72 and 7,274.70

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Solution

The fourth proportional to 12,940.74, 17,856.72 and 7,274.70 is: 10,038.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,940.74 : 17,856.72 = 7,274.70 : x
  2. Step 2: Convert to fraction form
    12,940.74/17,856.72 = 7,274.70/x
  3. Step 3: Cross multiply
    12,940.74x = 17,856.72 × 7,274.70
  4. Step 4: Simplify right side
    12,940.74x = 129,902,280.98
  5. Step 5: Solve for x
    x = 129,902,280.98/12,940.74
  6. Step 6: Final answer
    x = 10,038.24

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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.