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Finding the Fourth Proportional to 12,940.80, 19,366.40 and 7,750.40

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Solution

The fourth proportional to 12,940.80, 19,366.40 and 7,750.40 is: 11,598.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,940.80 : 19,366.40 = 7,750.40 : x
  2. Step 2: Convert to fraction form
    12,940.80/19,366.40 = 7,750.40/x
  3. Step 3: Cross multiply
    12,940.80x = 19,366.40 × 7,750.40
  4. Step 4: Simplify right side
    12,940.80x = 150,097,346.56
  5. Step 5: Solve for x
    x = 150,097,346.56/12,940.80
  6. Step 6: Final answer
    x = 11,598.77

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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.