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Finding the Fourth Proportional to 22,188.66, 33,283.74 and 9,702.30

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Solution

The fourth proportional to 22,188.66, 33,283.74 and 9,702.30 is: 14,553.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,188.66 : 33,283.74 = 9,702.30 : x
  2. Step 2: Convert to fraction form
    22,188.66/33,283.74 = 9,702.30/x
  3. Step 3: Cross multiply
    22,188.66x = 33,283.74 × 9,702.30
  4. Step 4: Simplify right side
    22,188.66x = 322,928,830.60
  5. Step 5: Solve for x
    x = 322,928,830.60/22,188.66
  6. Step 6: Final answer
    x = 14,553.78

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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.