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Finding the Fourth Proportional to 30,197.28, 45,288.72 and 12,667.44

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Solution

The fourth proportional to 30,197.28, 45,288.72 and 12,667.44 is: 18,998.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,197.28 : 45,288.72 = 12,667.44 : x
  2. Step 2: Convert to fraction form
    30,197.28/45,288.72 = 12,667.44/x
  3. Step 3: Cross multiply
    30,197.28x = 45,288.72 × 12,667.44
  4. Step 4: Simplify right side
    30,197.28x = 573,692,143.28
  5. Step 5: Solve for x
    x = 573,692,143.28/30,197.28
  6. Step 6: Final answer
    x = 18,998.14

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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.