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Finding the Fourth Proportional to 24,742.46, 37,113.16 and 6,022.60

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Solution

The fourth proportional to 24,742.46, 37,113.16 and 6,022.60 is: 9,033.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,742.46 : 37,113.16 = 6,022.60 : x
  2. Step 2: Convert to fraction form
    24,742.46/37,113.16 = 6,022.60/x
  3. Step 3: Cross multiply
    24,742.46x = 37,113.16 × 6,022.60
  4. Step 4: Simplify right side
    24,742.46x = 223,517,531.85
  5. Step 5: Solve for x
    x = 223,517,531.85/24,742.46
  6. Step 6: Final answer
    x = 9,033.77

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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.