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Finding the Fourth Proportional to 25,481.34, 38,194.44 and 12,315.60

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Solution

The fourth proportional to 25,481.34, 38,194.44 and 12,315.60 is: 18,460.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,481.34 : 38,194.44 = 12,315.60 : x
  2. Step 2: Convert to fraction form
    25,481.34/38,194.44 = 12,315.60/x
  3. Step 3: Cross multiply
    25,481.34x = 38,194.44 × 12,315.60
  4. Step 4: Simplify right side
    25,481.34x = 470,387,445.26
  5. Step 5: Solve for x
    x = 470,387,445.26/25,481.34
  6. Step 6: Final answer
    x = 18,460.07

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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.