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Finding the Fourth Proportional to 19,515.58, 29,247.82 and 7,837

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Solution

The fourth proportional to 19,515.58, 29,247.82 and 7,837 is: 11,745.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,515.58 : 29,247.82 = 7,837 : x
  2. Step 2: Convert to fraction form
    19,515.58/29,247.82 = 7,837/x
  3. Step 3: Cross multiply
    19,515.58x = 29,247.82 × 7,837
  4. Step 4: Simplify right side
    19,515.58x = 229,215,165.34
  5. Step 5: Solve for x
    x = 229,215,165.34/19,515.58
  6. Step 6: Final answer
    x = 11,745.24

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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.