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Finding the Fourth Proportional to 12,473.92, 18,694.73 and 5,069.78

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Solution

The fourth proportional to 12,473.92, 18,694.73 and 5,069.78 is: 7,598.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,473.92 : 18,694.73 = 5,069.78 : x
  2. Step 2: Convert to fraction form
    12,473.92/18,694.73 = 5,069.78/x
  3. Step 3: Cross multiply
    12,473.92x = 18,694.73 × 5,069.78
  4. Step 4: Simplify right side
    12,473.92x = 94,778,168.26
  5. Step 5: Solve for x
    x = 94,778,168.26/12,473.92
  6. Step 6: Final answer
    x = 7,598.11

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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.