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Finding the Fourth Proportional to 27,527.65, 41,278.08 and 13,471.21

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Solution

The fourth proportional to 27,527.65, 41,278.08 and 13,471.21 is: 20,200.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,527.65 : 41,278.08 = 13,471.21 : x
  2. Step 2: Convert to fraction form
    27,527.65/41,278.08 = 13,471.21/x
  3. Step 3: Cross multiply
    27,527.65x = 41,278.08 × 13,471.21
  4. Step 4: Simplify right side
    27,527.65x = 556,065,684.08
  5. Step 5: Solve for x
    x = 556,065,684.08/27,527.65
  6. Step 6: Final answer
    x = 20,200.26

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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.