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Finding the Fourth Proportional to 23,778.37, 35,667.48 and 7,138.34

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Solution

The fourth proportional to 23,778.37, 35,667.48 and 7,138.34 is: 10,707.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,778.37 : 35,667.48 = 7,138.34 : x
  2. Step 2: Convert to fraction form
    23,778.37/35,667.48 = 7,138.34/x
  3. Step 3: Cross multiply
    23,778.37x = 35,667.48 × 7,138.34
  4. Step 4: Simplify right side
    23,778.37x = 254,606,599.18
  5. Step 5: Solve for x
    x = 254,606,599.18/23,778.37
  6. Step 6: Final answer
    x = 10,707.49

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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.