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Finding the Fourth Proportional to 18,678.12, 27,980.52 and 12,419.76

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Solution

The fourth proportional to 18,678.12, 27,980.52 and 12,419.76 is: 18,605.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,678.12 : 27,980.52 = 12,419.76 : x
  2. Step 2: Convert to fraction form
    18,678.12/27,980.52 = 12,419.76/x
  3. Step 3: Cross multiply
    18,678.12x = 27,980.52 × 12,419.76
  4. Step 4: Simplify right side
    18,678.12x = 347,511,343.08
  5. Step 5: Solve for x
    x = 347,511,343.08/18,678.12
  6. Step 6: Final answer
    x = 18,605.26

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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.