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Finding the Fourth Proportional to 22,630.46, 33,946.07 and 7,839.81

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Solution

The fourth proportional to 22,630.46, 33,946.07 and 7,839.81 is: 11,759.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,630.46 : 33,946.07 = 7,839.81 : x
  2. Step 2: Convert to fraction form
    22,630.46/33,946.07 = 7,839.81/x
  3. Step 3: Cross multiply
    22,630.46x = 33,946.07 × 7,839.81
  4. Step 4: Simplify right side
    22,630.46x = 266,130,699.85
  5. Step 5: Solve for x
    x = 266,130,699.85/22,630.46
  6. Step 6: Final answer
    x = 11,759.85

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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.