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Finding the Fourth Proportional to 27,559.71, 41,339.66 and 6,783.21

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Solution

The fourth proportional to 27,559.71, 41,339.66 and 6,783.21 is: 10,174.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,559.71 : 41,339.66 = 6,783.21 : x
  2. Step 2: Convert to fraction form
    27,559.71/41,339.66 = 6,783.21/x
  3. Step 3: Cross multiply
    27,559.71x = 41,339.66 × 6,783.21
  4. Step 4: Simplify right side
    27,559.71x = 280,415,561.19
  5. Step 5: Solve for x
    x = 280,415,561.19/27,559.71
  6. Step 6: Final answer
    x = 10,174.84

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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.