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Finding the Fourth Proportional to 27,804.42, 41,706.63 and 7,027.92

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Solution

The fourth proportional to 27,804.42, 41,706.63 and 7,027.92 is: 10,541.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,804.42 : 41,706.63 = 7,027.92 : x
  2. Step 2: Convert to fraction form
    27,804.42/41,706.63 = 7,027.92/x
  3. Step 3: Cross multiply
    27,804.42x = 41,706.63 × 7,027.92
  4. Step 4: Simplify right side
    27,804.42x = 293,110,859.11
  5. Step 5: Solve for x
    x = 293,110,859.11/27,804.42
  6. Step 6: Final answer
    x = 10,541.88

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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.