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Finding the Fourth Proportional to 24,701.93, 37,056.45 and 8,057.84

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Solution

The fourth proportional to 24,701.93, 37,056.45 and 8,057.84 is: 12,087.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,701.93 : 37,056.45 = 8,057.84 : x
  2. Step 2: Convert to fraction form
    24,701.93/37,056.45 = 8,057.84/x
  3. Step 3: Cross multiply
    24,701.93x = 37,056.45 × 8,057.84
  4. Step 4: Simplify right side
    24,701.93x = 298,594,945.07
  5. Step 5: Solve for x
    x = 298,594,945.07/24,701.93
  6. Step 6: Final answer
    x = 12,087.92

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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.