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Finding the Fourth Proportional to 26,980.56, 40,446.54 and 9,442.44

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Solution

The fourth proportional to 26,980.56, 40,446.54 and 9,442.44 is: 14,155.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,980.56 : 40,446.54 = 9,442.44 : x
  2. Step 2: Convert to fraction form
    26,980.56/40,446.54 = 9,442.44/x
  3. Step 3: Cross multiply
    26,980.56x = 40,446.54 × 9,442.44
  4. Step 4: Simplify right side
    26,980.56x = 381,914,027.16
  5. Step 5: Solve for x
    x = 381,914,027.16/26,980.56
  6. Step 6: Final answer
    x = 14,155.16

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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.