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Finding the Fourth Proportional to 12,179.30, 18,269.08 and 10,412.86

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Solution

The fourth proportional to 12,179.30, 18,269.08 and 10,412.86 is: 15,619.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,179.30 : 18,269.08 = 10,412.86 : x
  2. Step 2: Convert to fraction form
    12,179.30/18,269.08 = 10,412.86/x
  3. Step 3: Cross multiply
    12,179.30x = 18,269.08 × 10,412.86
  4. Step 4: Simplify right side
    12,179.30x = 190,233,372.37
  5. Step 5: Solve for x
    x = 190,233,372.37/12,179.30
  6. Step 6: Final answer
    x = 15,619.40

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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.