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Finding the Fourth Proportional to 15,349.50, 23,024.25 and 4,961.25

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Solution

The fourth proportional to 15,349.50, 23,024.25 and 4,961.25 is: 7,441.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,349.50 : 23,024.25 = 4,961.25 : x
  2. Step 2: Convert to fraction form
    15,349.50/23,024.25 = 4,961.25/x
  3. Step 3: Cross multiply
    15,349.50x = 23,024.25 × 4,961.25
  4. Step 4: Simplify right side
    15,349.50x = 114,229,060.31
  5. Step 5: Solve for x
    x = 114,229,060.31/15,349.50
  6. Step 6: Final answer
    x = 7,441.88

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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.