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Finding the Fourth Proportional to 19,784.26, 29,676.41 and 9,266.09

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Solution

The fourth proportional to 19,784.26, 29,676.41 and 9,266.09 is: 13,899.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,784.26 : 29,676.41 = 9,266.09 : x
  2. Step 2: Convert to fraction form
    19,784.26/29,676.41 = 9,266.09/x
  3. Step 3: Cross multiply
    19,784.26x = 29,676.41 × 9,266.09
  4. Step 4: Simplify right side
    19,784.26x = 274,984,239.61
  5. Step 5: Solve for x
    x = 274,984,239.61/19,784.26
  6. Step 6: Final answer
    x = 13,899.15

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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.