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Finding the Fourth Proportional to 19,907.38, 29,865.35 and 6,580.95

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Solution

The fourth proportional to 19,907.38, 29,865.35 and 6,580.95 is: 9,872.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,907.38 : 29,865.35 = 6,580.95 : x
  2. Step 2: Convert to fraction form
    19,907.38/29,865.35 = 6,580.95/x
  3. Step 3: Cross multiply
    19,907.38x = 29,865.35 × 6,580.95
  4. Step 4: Simplify right side
    19,907.38x = 196,542,375.08
  5. Step 5: Solve for x
    x = 196,542,375.08/19,907.38
  6. Step 6: Final answer
    x = 9,872.84

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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.