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Finding the Fourth Proportional to 12,694.32, 19,039.86 and 4,900.50

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Solution

The fourth proportional to 12,694.32, 19,039.86 and 4,900.50 is: 7,350.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,694.32 : 19,039.86 = 4,900.50 : x
  2. Step 2: Convert to fraction form
    12,694.32/19,039.86 = 4,900.50/x
  3. Step 3: Cross multiply
    12,694.32x = 19,039.86 × 4,900.50
  4. Step 4: Simplify right side
    12,694.32x = 93,304,833.93
  5. Step 5: Solve for x
    x = 93,304,833.93/12,694.32
  6. Step 6: Final answer
    x = 7,350.12

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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.