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Finding the Fourth Proportional to 15,941, 23,911.50 and 4,997

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Solution

The fourth proportional to 15,941, 23,911.50 and 4,997 is: 7,495.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,941 : 23,911.50 = 4,997 : x
  2. Step 2: Convert to fraction form
    15,941/23,911.50 = 4,997/x
  3. Step 3: Cross multiply
    15,941x = 23,911.50 × 4,997
  4. Step 4: Simplify right side
    15,941x = 119,485,765.50
  5. Step 5: Solve for x
    x = 119,485,765.50/15,941
  6. Step 6: Final answer
    x = 7,495.50

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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.