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Finding the Fourth Proportional to 12,927.54, 19,391.41 and 7,080.96

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Solution

The fourth proportional to 12,927.54, 19,391.41 and 7,080.96 is: 10,621.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,927.54 : 19,391.41 = 7,080.96 : x
  2. Step 2: Convert to fraction form
    12,927.54/19,391.41 = 7,080.96/x
  3. Step 3: Cross multiply
    12,927.54x = 19,391.41 × 7,080.96
  4. Step 4: Simplify right side
    12,927.54x = 137,309,880.12
  5. Step 5: Solve for x
    x = 137,309,880.12/12,927.54
  6. Step 6: Final answer
    x = 10,621.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.