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Finding the Fourth Proportional to 22,447.08, 30,975.58 and 12,375

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Solution

The fourth proportional to 22,447.08, 30,975.58 and 12,375 is: 17,076.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,447.08 : 30,975.58 = 12,375 : x
  2. Step 2: Convert to fraction form
    22,447.08/30,975.58 = 12,375/x
  3. Step 3: Cross multiply
    22,447.08x = 30,975.58 × 12,375
  4. Step 4: Simplify right side
    22,447.08x = 383,322,802.50
  5. Step 5: Solve for x
    x = 383,322,802.50/22,447.08
  6. Step 6: Final answer
    x = 17,076.73

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