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Finding the Fourth Proportional to 18,296.46, 27,449.24 and 8,442.60

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Solution

The fourth proportional to 18,296.46, 27,449.24 and 8,442.60 is: 12,666.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,296.46 : 27,449.24 = 8,442.60 : x
  2. Step 2: Convert to fraction form
    18,296.46/27,449.24 = 8,442.60/x
  3. Step 3: Cross multiply
    18,296.46x = 27,449.24 × 8,442.60
  4. Step 4: Simplify right side
    18,296.46x = 231,742,953.62
  5. Step 5: Solve for x
    x = 231,742,953.62/18,296.46
  6. Step 6: Final answer
    x = 12,666.00

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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.