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Finding the Fourth Proportional to 22,085.25, 30,477.65 and 12,149.25

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Solution

The fourth proportional to 22,085.25, 30,477.65 and 12,149.25 is: 16,765.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,085.25 : 30,477.65 = 12,149.25 : x
  2. Step 2: Convert to fraction form
    22,085.25/30,477.65 = 12,149.25/x
  3. Step 3: Cross multiply
    22,085.25x = 30,477.65 × 12,149.25
  4. Step 4: Simplify right side
    22,085.25x = 370,280,528.52
  5. Step 5: Solve for x
    x = 370,280,528.52/22,085.25
  6. Step 6: Final answer
    x = 16,765.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.