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Finding the Fourth Proportional to 22,205.25, 30,643.25 and 12,269.25

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Solution

The fourth proportional to 22,205.25, 30,643.25 and 12,269.25 is: 16,931.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,205.25 : 30,643.25 = 12,269.25 : x
  2. Step 2: Convert to fraction form
    22,205.25/30,643.25 = 12,269.25/x
  3. Step 3: Cross multiply
    22,205.25x = 30,643.25 × 12,269.25
  4. Step 4: Simplify right side
    22,205.25x = 375,969,633.72
  5. Step 5: Solve for x
    x = 375,969,633.72/22,205.25
  6. Step 6: Final answer
    x = 16,931.57

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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.