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Finding the Fourth Proportional to 18,527.94, 27,794.64 and 5,378.60

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Solution

The fourth proportional to 18,527.94, 27,794.64 and 5,378.60 is: 8,068.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,527.94 : 27,794.64 = 5,378.60 : x
  2. Step 2: Convert to fraction form
    18,527.94/27,794.64 = 5,378.60/x
  3. Step 3: Cross multiply
    18,527.94x = 27,794.64 × 5,378.60
  4. Step 4: Simplify right side
    18,527.94x = 149,496,111.73
  5. Step 5: Solve for x
    x = 149,496,111.73/18,527.94
  6. Step 6: Final answer
    x = 8,068.69

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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.