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Finding the Fourth Proportional to 25,144.08, 37,716.12 and 7,614

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Solution

The fourth proportional to 25,144.08, 37,716.12 and 7,614 is: 11,421

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,144.08 : 37,716.12 = 7,614 : x
  2. Step 2: Convert to fraction form
    25,144.08/37,716.12 = 7,614/x
  3. Step 3: Cross multiply
    25,144.08x = 37,716.12 × 7,614
  4. Step 4: Simplify right side
    25,144.08x = 287,170,537.68
  5. Step 5: Solve for x
    x = 287,170,537.68/25,144.08
  6. Step 6: Final answer
    x = 11,421

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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.