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Finding the Fourth Proportional to 22,032, 30,404.16 and 12,096

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Solution

The fourth proportional to 22,032, 30,404.16 and 12,096 is: 16,692.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,032 : 30,404.16 = 12,096 : x
  2. Step 2: Convert to fraction form
    22,032/30,404.16 = 12,096/x
  3. Step 3: Cross multiply
    22,032x = 30,404.16 × 12,096
  4. Step 4: Simplify right side
    22,032x = 367,768,719.36
  5. Step 5: Solve for x
    x = 367,768,719.36/22,032
  6. Step 6: Final answer
    x = 16,692.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.