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Finding the Fourth Proportional to 19,540.13, 29,311.54 and 9,676.76

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Solution

The fourth proportional to 19,540.13, 29,311.54 and 9,676.76 is: 14,515.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,540.13 : 29,311.54 = 9,676.76 : x
  2. Step 2: Convert to fraction form
    19,540.13/29,311.54 = 9,676.76/x
  3. Step 3: Cross multiply
    19,540.13x = 29,311.54 × 9,676.76
  4. Step 4: Simplify right side
    19,540.13x = 283,640,567.06
  5. Step 5: Solve for x
    x = 283,640,567.06/19,540.13
  6. Step 6: Final answer
    x = 14,515.80

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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.