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Finding the Fourth Proportional to 15,472.74, 23,197.74 and 4,936.70

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Solution

The fourth proportional to 15,472.74, 23,197.74 and 4,936.70 is: 7,401.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,472.74 : 23,197.74 = 4,936.70 : x
  2. Step 2: Convert to fraction form
    15,472.74/23,197.74 = 4,936.70/x
  3. Step 3: Cross multiply
    15,472.74x = 23,197.74 × 4,936.70
  4. Step 4: Simplify right side
    15,472.74x = 114,520,283.06
  5. Step 5: Solve for x
    x = 114,520,283.06/15,472.74
  6. Step 6: Final answer
    x = 7,401.42

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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.