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Finding the Fourth Proportional to 22,264.69, 30,725.44 and 12,194.07

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Solution

The fourth proportional to 22,264.69, 30,725.44 and 12,194.07 is: 16,827.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,264.69 : 30,725.44 = 12,194.07 : x
  2. Step 2: Convert to fraction form
    22,264.69/30,725.44 = 12,194.07/x
  3. Step 3: Cross multiply
    22,264.69x = 30,725.44 × 12,194.07
  4. Step 4: Simplify right side
    22,264.69x = 374,668,166.14
  5. Step 5: Solve for x
    x = 374,668,166.14/22,264.69
  6. Step 6: Final answer
    x = 16,827.91

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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.