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Finding the Fourth Proportional to 27,827.32, 41,741.06 and 8,106.36

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Solution

The fourth proportional to 27,827.32, 41,741.06 and 8,106.36 is: 12,159.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,827.32 : 41,741.06 = 8,106.36 : x
  2. Step 2: Convert to fraction form
    27,827.32/41,741.06 = 8,106.36/x
  3. Step 3: Cross multiply
    27,827.32x = 41,741.06 × 8,106.36
  4. Step 4: Simplify right side
    27,827.32x = 338,368,059.14
  5. Step 5: Solve for x
    x = 338,368,059.14/27,827.32
  6. Step 6: Final answer
    x = 12,159.56

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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.