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Finding the Fourth Proportional to 19,408.24, 29,106.24 and 6,257.80

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Solution

The fourth proportional to 19,408.24, 29,106.24 and 6,257.80 is: 9,384.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,408.24 : 29,106.24 = 6,257.80 : x
  2. Step 2: Convert to fraction form
    19,408.24/29,106.24 = 6,257.80/x
  3. Step 3: Cross multiply
    19,408.24x = 29,106.24 × 6,257.80
  4. Step 4: Simplify right side
    19,408.24x = 182,141,028.67
  5. Step 5: Solve for x
    x = 182,141,028.67/19,408.24
  6. Step 6: Final answer
    x = 9,384.73

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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.