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Finding the Fourth Proportional to 24,701.74, 37,054.42 and 8,061.30

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Solution

The fourth proportional to 24,701.74, 37,054.42 and 8,061.30 is: 12,092.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,701.74 : 37,054.42 = 8,061.30 : x
  2. Step 2: Convert to fraction form
    24,701.74/37,054.42 = 8,061.30/x
  3. Step 3: Cross multiply
    24,701.74x = 37,054.42 × 8,061.30
  4. Step 4: Simplify right side
    24,701.74x = 298,706,795.95
  5. Step 5: Solve for x
    x = 298,706,795.95/24,701.74
  6. Step 6: Final answer
    x = 12,092.54

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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.