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Finding the Fourth Proportional to 19,797.52, 29,676.84 and 9,416.56

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Solution

The fourth proportional to 19,797.52, 29,676.84 and 9,416.56 is: 14,115.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,797.52 : 29,676.84 = 9,416.56 : x
  2. Step 2: Convert to fraction form
    19,797.52/29,676.84 = 9,416.56/x
  3. Step 3: Cross multiply
    19,797.52x = 29,676.84 × 9,416.56
  4. Step 4: Simplify right side
    19,797.52x = 279,453,744.47
  5. Step 5: Solve for x
    x = 279,453,744.47/19,797.52
  6. Step 6: Final answer
    x = 14,115.59

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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.