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Finding the Fourth Proportional to 20,002.56, 30,002.40 and 12,194.88

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Solution

The fourth proportional to 20,002.56, 30,002.40 and 12,194.88 is: 18,291.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,002.56 : 30,002.40 = 12,194.88 : x
  2. Step 2: Convert to fraction form
    20,002.56/30,002.40 = 12,194.88/x
  3. Step 3: Cross multiply
    20,002.56x = 30,002.40 × 12,194.88
  4. Step 4: Simplify right side
    20,002.56x = 365,875,667.71
  5. Step 5: Solve for x
    x = 365,875,667.71/20,002.56
  6. Step 6: Final answer
    x = 18,291.44

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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.