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Finding the Fourth Proportional to 24,853.53, 37,280.52 and 7,084.15

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Solution

The fourth proportional to 24,853.53, 37,280.52 and 7,084.15 is: 10,626.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,853.53 : 37,280.52 = 7,084.15 : x
  2. Step 2: Convert to fraction form
    24,853.53/37,280.52 = 7,084.15/x
  3. Step 3: Cross multiply
    24,853.53x = 37,280.52 × 7,084.15
  4. Step 4: Simplify right side
    24,853.53x = 264,100,795.76
  5. Step 5: Solve for x
    x = 264,100,795.76/24,853.53
  6. Step 6: Final answer
    x = 10,626.29

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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.