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Finding the Fourth Proportional to 27,522.48, 37,968.84 and 16,338

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Solution

The fourth proportional to 27,522.48, 37,968.84 and 16,338 is: 22,539.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,522.48 : 37,968.84 = 16,338 : x
  2. Step 2: Convert to fraction form
    27,522.48/37,968.84 = 16,338/x
  3. Step 3: Cross multiply
    27,522.48x = 37,968.84 × 16,338
  4. Step 4: Simplify right side
    27,522.48x = 620,334,907.92
  5. Step 5: Solve for x
    x = 620,334,907.92/27,522.48
  6. Step 6: Final answer
    x = 22,539.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.