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Finding the Fourth Proportional to 22,549.38, 33,830.16 and 7,758.60

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Solution

The fourth proportional to 22,549.38, 33,830.16 and 7,758.60 is: 11,640.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,549.38 : 33,830.16 = 7,758.60 : x
  2. Step 2: Convert to fraction form
    22,549.38/33,830.16 = 7,758.60/x
  3. Step 3: Cross multiply
    22,549.38x = 33,830.16 × 7,758.60
  4. Step 4: Simplify right side
    22,549.38x = 262,474,679.38
  5. Step 5: Solve for x
    x = 262,474,679.38/22,549.38
  6. Step 6: Final answer
    x = 11,640.00

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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.