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Finding the Fourth Proportional to 22,532.96, 33,803.94 and 6,950

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Solution

The fourth proportional to 22,532.96, 33,803.94 and 6,950 is: 10,426.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,532.96 : 33,803.94 = 6,950 : x
  2. Step 2: Convert to fraction form
    22,532.96/33,803.94 = 6,950/x
  3. Step 3: Cross multiply
    22,532.96x = 33,803.94 × 6,950
  4. Step 4: Simplify right side
    22,532.96x = 234,937,383.00
  5. Step 5: Solve for x
    x = 234,937,383.00/22,532.96
  6. Step 6: Final answer
    x = 10,426.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.