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Finding the Fourth Proportional to 23,408.16, 35,107.04 and 6,764.56

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Solution

The fourth proportional to 23,408.16, 35,107.04 and 6,764.56 is: 10,145.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,408.16 : 35,107.04 = 6,764.56 : x
  2. Step 2: Convert to fraction form
    23,408.16/35,107.04 = 6,764.56/x
  3. Step 3: Cross multiply
    23,408.16x = 35,107.04 × 6,764.56
  4. Step 4: Simplify right side
    23,408.16x = 237,483,678.50
  5. Step 5: Solve for x
    x = 237,483,678.50/23,408.16
  6. Step 6: Final answer
    x = 10,145.34

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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.