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Finding the Fourth Proportional to 24,951.96, 37,433.84 and 8,084.94

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Solution

The fourth proportional to 24,951.96, 37,433.84 and 8,084.94 is: 12,129.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,951.96 : 37,433.84 = 8,084.94 : x
  2. Step 2: Convert to fraction form
    24,951.96/37,433.84 = 8,084.94/x
  3. Step 3: Cross multiply
    24,951.96x = 37,433.84 × 8,084.94
  4. Step 4: Simplify right side
    24,951.96x = 302,650,325.10
  5. Step 5: Solve for x
    x = 302,650,325.10/24,951.96
  6. Step 6: Final answer
    x = 12,129.32

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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.