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Finding the Fourth Proportional to 23,529, 35,293.50 and 7,113

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Solution

The fourth proportional to 23,529, 35,293.50 and 7,113 is: 10,669.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,529 : 35,293.50 = 7,113 : x
  2. Step 2: Convert to fraction form
    23,529/35,293.50 = 7,113/x
  3. Step 3: Cross multiply
    23,529x = 35,293.50 × 7,113
  4. Step 4: Simplify right side
    23,529x = 251,042,665.50
  5. Step 5: Solve for x
    x = 251,042,665.50/23,529
  6. Step 6: Final answer
    x = 10,669.50

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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.