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Finding the Fourth Proportional to 27,606.12, 41,405.07 and 10,071.84

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Solution

The fourth proportional to 27,606.12, 41,405.07 and 10,071.84 is: 15,106.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,606.12 : 41,405.07 = 10,071.84 : x
  2. Step 2: Convert to fraction form
    27,606.12/41,405.07 = 10,071.84/x
  3. Step 3: Cross multiply
    27,606.12x = 41,405.07 × 10,071.84
  4. Step 4: Simplify right side
    27,606.12x = 417,025,433.27
  5. Step 5: Solve for x
    x = 417,025,433.27/27,606.12
  6. Step 6: Final answer
    x = 15,106.27

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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.