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Finding the Fourth Proportional to 22,336.50, 30,825.94 and 14,769.68

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Solution

The fourth proportional to 22,336.50, 30,825.94 and 14,769.68 is: 20,383.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,336.50 : 30,825.94 = 14,769.68 : x
  2. Step 2: Convert to fraction form
    22,336.50/30,825.94 = 14,769.68/x
  3. Step 3: Cross multiply
    22,336.50x = 30,825.94 × 14,769.68
  4. Step 4: Simplify right side
    22,336.50x = 455,289,269.50
  5. Step 5: Solve for x
    x = 455,289,269.50/22,336.50
  6. Step 6: Final answer
    x = 20,383.20

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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.