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Finding the Fourth Proportional to 25,185.74, 37,770.88 and 8,315.64

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Solution

The fourth proportional to 25,185.74, 37,770.88 and 8,315.64 is: 12,470.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,185.74 : 37,770.88 = 8,315.64 : x
  2. Step 2: Convert to fraction form
    25,185.74/37,770.88 = 8,315.64/x
  3. Step 3: Cross multiply
    25,185.74x = 37,770.88 × 8,315.64
  4. Step 4: Simplify right side
    25,185.74x = 314,089,040.56
  5. Step 5: Solve for x
    x = 314,089,040.56/25,185.74
  6. Step 6: Final answer
    x = 12,470.91

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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.