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Finding the Fourth Proportional to 23,902.74, 35,851.95 and 6,372

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Solution

The fourth proportional to 23,902.74, 35,851.95 and 6,372 is: 9,557.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,902.74 : 35,851.95 = 6,372 : x
  2. Step 2: Convert to fraction form
    23,902.74/35,851.95 = 6,372/x
  3. Step 3: Cross multiply
    23,902.74x = 35,851.95 × 6,372
  4. Step 4: Simplify right side
    23,902.74x = 228,448,625.40
  5. Step 5: Solve for x
    x = 228,448,625.40/23,902.74
  6. Step 6: Final answer
    x = 9,557.42

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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.