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Finding the Fourth Proportional to 22,302.63, 33,442.19 and 11,778.30

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Solution

The fourth proportional to 22,302.63, 33,442.19 and 11,778.30 is: 17,661.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,302.63 : 33,442.19 = 11,778.30 : x
  2. Step 2: Convert to fraction form
    22,302.63/33,442.19 = 11,778.30/x
  3. Step 3: Cross multiply
    22,302.63x = 33,442.19 × 11,778.30
  4. Step 4: Simplify right side
    22,302.63x = 393,892,087.59
  5. Step 5: Solve for x
    x = 393,892,087.59/22,302.63
  6. Step 6: Final answer
    x = 17,661.24

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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.