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Finding the Fourth Proportional to 22,853.70, 34,280.64 and 8,054.60

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Solution

The fourth proportional to 22,853.70, 34,280.64 and 8,054.60 is: 12,081.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,853.70 : 34,280.64 = 8,054.60 : x
  2. Step 2: Convert to fraction form
    22,853.70/34,280.64 = 8,054.60/x
  3. Step 3: Cross multiply
    22,853.70x = 34,280.64 × 8,054.60
  4. Step 4: Simplify right side
    22,853.70x = 276,116,671.54
  5. Step 5: Solve for x
    x = 276,116,671.54/22,853.70
  6. Step 6: Final answer
    x = 12,081.92

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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.