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Finding the Fourth Proportional to 22,462.20, 33,693.30 and 7,666.20

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Solution

The fourth proportional to 22,462.20, 33,693.30 and 7,666.20 is: 11,499.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,462.20 : 33,693.30 = 7,666.20 : x
  2. Step 2: Convert to fraction form
    22,462.20/33,693.30 = 7,666.20/x
  3. Step 3: Cross multiply
    22,462.20x = 33,693.30 × 7,666.20
  4. Step 4: Simplify right side
    22,462.20x = 258,299,576.46
  5. Step 5: Solve for x
    x = 258,299,576.46/22,462.20
  6. Step 6: Final answer
    x = 11,499.30

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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.