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Finding the Fourth Proportional to 15,958.31, 23,938.77 and 4,865.09

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Solution

The fourth proportional to 15,958.31, 23,938.77 and 4,865.09 is: 7,298.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,958.31 : 23,938.77 = 4,865.09 : x
  2. Step 2: Convert to fraction form
    15,958.31/23,938.77 = 4,865.09/x
  3. Step 3: Cross multiply
    15,958.31x = 23,938.77 × 4,865.09
  4. Step 4: Simplify right side
    15,958.31x = 116,464,150.85
  5. Step 5: Solve for x
    x = 116,464,150.85/15,958.31
  6. Step 6: Final answer
    x = 7,298.03

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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.