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Finding the Fourth Proportional to 15,102.44, 22,660.41 and 7,703

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Solution

The fourth proportional to 15,102.44, 22,660.41 and 7,703 is: 11,557.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,102.44 : 22,660.41 = 7,703 : x
  2. Step 2: Convert to fraction form
    15,102.44/22,660.41 = 7,703/x
  3. Step 3: Cross multiply
    15,102.44x = 22,660.41 × 7,703
  4. Step 4: Simplify right side
    15,102.44x = 174,553,138.23
  5. Step 5: Solve for x
    x = 174,553,138.23/15,102.44
  6. Step 6: Final answer
    x = 11,557.94

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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.