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Finding the Fourth Proportional to 22,330.78, 33,501.74 and 8,294.80

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Solution

The fourth proportional to 22,330.78, 33,501.74 and 8,294.80 is: 12,444.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,330.78 : 33,501.74 = 8,294.80 : x
  2. Step 2: Convert to fraction form
    22,330.78/33,501.74 = 8,294.80/x
  3. Step 3: Cross multiply
    22,330.78x = 33,501.74 × 8,294.80
  4. Step 4: Simplify right side
    22,330.78x = 277,890,232.95
  5. Step 5: Solve for x
    x = 277,890,232.95/22,330.78
  6. Step 6: Final answer
    x = 12,444.27

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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.