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Finding the Fourth Proportional to 15,778.50, 23,667.93 and 4,091.01

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Solution

The fourth proportional to 15,778.50, 23,667.93 and 4,091.01 is: 6,136.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,778.50 : 23,667.93 = 4,091.01 : x
  2. Step 2: Convert to fraction form
    15,778.50/23,667.93 = 4,091.01/x
  3. Step 3: Cross multiply
    15,778.50x = 23,667.93 × 4,091.01
  4. Step 4: Simplify right side
    15,778.50x = 96,825,738.31
  5. Step 5: Solve for x
    x = 96,825,738.31/15,778.50
  6. Step 6: Final answer
    x = 6,136.56

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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.