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Finding the Fourth Proportional to 18,313.60, 27,475.31 and 7,784.10

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Solution

The fourth proportional to 18,313.60, 27,475.31 and 7,784.10 is: 11,678.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,313.60 : 27,475.31 = 7,784.10 : x
  2. Step 2: Convert to fraction form
    18,313.60/27,475.31 = 7,784.10/x
  3. Step 3: Cross multiply
    18,313.60x = 27,475.31 × 7,784.10
  4. Step 4: Simplify right side
    18,313.60x = 213,870,560.57
  5. Step 5: Solve for x
    x = 213,870,560.57/18,313.60
  6. Step 6: Final answer
    x = 11,678.24

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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.