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Finding the Fourth Proportional to 19,758.30, 29,645.46 and 8,659.14

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Solution

The fourth proportional to 19,758.30, 29,645.46 and 8,659.14 is: 12,992.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,758.30 : 29,645.46 = 8,659.14 : x
  2. Step 2: Convert to fraction form
    19,758.30/29,645.46 = 8,659.14/x
  3. Step 3: Cross multiply
    19,758.30x = 29,645.46 × 8,659.14
  4. Step 4: Simplify right side
    19,758.30x = 256,703,996.98
  5. Step 5: Solve for x
    x = 256,703,996.98/19,758.30
  6. Step 6: Final answer
    x = 12,992.21

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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.