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Finding the Fourth Proportional to 22,630.37, 33,937.87 and 7,835.83

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Solution

The fourth proportional to 22,630.37, 33,937.87 and 7,835.83 is: 11,751.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,630.37 : 33,937.87 = 7,835.83 : x
  2. Step 2: Convert to fraction form
    22,630.37/33,937.87 = 7,835.83/x
  3. Step 3: Cross multiply
    22,630.37x = 33,937.87 × 7,835.83
  4. Step 4: Simplify right side
    22,630.37x = 265,931,171.01
  5. Step 5: Solve for x
    x = 265,931,171.01/22,630.37
  6. Step 6: Final answer
    x = 11,751.07

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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.