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Finding the Fourth Proportional to 20,152.58, 27,812.81 and 12,194.63

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Solution

The fourth proportional to 20,152.58, 27,812.81 and 12,194.63 is: 16,829.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,152.58 : 27,812.81 = 12,194.63 : x
  2. Step 2: Convert to fraction form
    20,152.58/27,812.81 = 12,194.63/x
  3. Step 3: Cross multiply
    20,152.58x = 27,812.81 × 12,194.63
  4. Step 4: Simplify right side
    20,152.58x = 339,167,027.23
  5. Step 5: Solve for x
    x = 339,167,027.23/20,152.58
  6. Step 6: Final answer
    x = 16,829.95

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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.