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Finding the Fourth Proportional to 21,447.82, 32,176.04 and 7,408.36

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Solution

The fourth proportional to 21,447.82, 32,176.04 and 7,408.36 is: 11,114.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,447.82 : 32,176.04 = 7,408.36 : x
  2. Step 2: Convert to fraction form
    21,447.82/32,176.04 = 7,408.36/x
  3. Step 3: Cross multiply
    21,447.82x = 32,176.04 × 7,408.36
  4. Step 4: Simplify right side
    21,447.82x = 238,371,690.87
  5. Step 5: Solve for x
    x = 238,371,690.87/21,447.82
  6. Step 6: Final answer
    x = 11,114.03

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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.