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Finding the Fourth Proportional to 23,542, 35,313 and 7,126

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Solution

The fourth proportional to 23,542, 35,313 and 7,126 is: 10,689

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,542 : 35,313 = 7,126 : x
  2. Step 2: Convert to fraction form
    23,542/35,313 = 7,126/x
  3. Step 3: Cross multiply
    23,542x = 35,313 × 7,126
  4. Step 4: Simplify right side
    23,542x = 251,640,438
  5. Step 5: Solve for x
    x = 251,640,438/23,542
  6. Step 6: Final answer
    x = 10,689

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.