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Finding the Fourth Proportional to 19,433.75, 29,152.44 and 7,747.88

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Solution

The fourth proportional to 19,433.75, 29,152.44 and 7,747.88 is: 11,622.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,433.75 : 29,152.44 = 7,747.88 : x
  2. Step 2: Convert to fraction form
    19,433.75/29,152.44 = 7,747.88/x
  3. Step 3: Cross multiply
    19,433.75x = 29,152.44 × 7,747.88
  4. Step 4: Simplify right side
    19,433.75x = 225,869,461.07
  5. Step 5: Solve for x
    x = 225,869,461.07/19,433.75
  6. Step 6: Final answer
    x = 11,622.54

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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.