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Finding the Fourth Proportional to 19,758.90, 29,650.14 and 7,107.60

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Solution

The fourth proportional to 19,758.90, 29,650.14 and 7,107.60 is: 10,665.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,758.90 : 29,650.14 = 7,107.60 : x
  2. Step 2: Convert to fraction form
    19,758.90/29,650.14 = 7,107.60/x
  3. Step 3: Cross multiply
    19,758.90x = 29,650.14 × 7,107.60
  4. Step 4: Simplify right side
    19,758.90x = 210,741,335.06
  5. Step 5: Solve for x
    x = 210,741,335.06/19,758.90
  6. Step 6: Final answer
    x = 10,665.64

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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.