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Finding the Fourth Proportional to 15,107.50, 22,662.06 and 10,712.44

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Solution

The fourth proportional to 15,107.50, 22,662.06 and 10,712.44 is: 16,069.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,107.50 : 22,662.06 = 10,712.44 : x
  2. Step 2: Convert to fraction form
    15,107.50/22,662.06 = 10,712.44/x
  3. Step 3: Cross multiply
    15,107.50x = 22,662.06 × 10,712.44
  4. Step 4: Simplify right side
    15,107.50x = 242,765,958.03
  5. Step 5: Solve for x
    x = 242,765,958.03/15,107.50
  6. Step 6: Final answer
    x = 16,069.23

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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.