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Finding the Fourth Proportional to 25,975.30, 38,968.73 and 12,116.74

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Solution

The fourth proportional to 25,975.30, 38,968.73 and 12,116.74 is: 18,177.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,975.30 : 38,968.73 = 12,116.74 : x
  2. Step 2: Convert to fraction form
    25,975.30/38,968.73 = 12,116.74/x
  3. Step 3: Cross multiply
    25,975.30x = 38,968.73 × 12,116.74
  4. Step 4: Simplify right side
    25,975.30x = 472,173,969.54
  5. Step 5: Solve for x
    x = 472,173,969.54/25,975.30
  6. Step 6: Final answer
    x = 18,177.81

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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.