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Finding the Fourth Proportional to 27,574.14, 41,361.72 and 7,853.22

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Solution

The fourth proportional to 27,574.14, 41,361.72 and 7,853.22 is: 11,779.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,574.14 : 41,361.72 = 7,853.22 : x
  2. Step 2: Convert to fraction form
    27,574.14/41,361.72 = 7,853.22/x
  3. Step 3: Cross multiply
    27,574.14x = 41,361.72 × 7,853.22
  4. Step 4: Simplify right side
    27,574.14x = 324,822,686.74
  5. Step 5: Solve for x
    x = 324,822,686.74/27,574.14
  6. Step 6: Final answer
    x = 11,779.98

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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.