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Finding the Fourth Proportional to 22,130.82, 33,196.23 and 6,548.45

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Solution

The fourth proportional to 22,130.82, 33,196.23 and 6,548.45 is: 9,822.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,130.82 : 33,196.23 = 6,548.45 : x
  2. Step 2: Convert to fraction form
    22,130.82/33,196.23 = 6,548.45/x
  3. Step 3: Cross multiply
    22,130.82x = 33,196.23 × 6,548.45
  4. Step 4: Simplify right side
    22,130.82x = 217,383,686.36
  5. Step 5: Solve for x
    x = 217,383,686.36/22,130.82
  6. Step 6: Final answer
    x = 9,822.67

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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.