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Finding the Fourth Proportional to 27,106.05, 40,660.22 and 9,575.97

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Solution

The fourth proportional to 27,106.05, 40,660.22 and 9,575.97 is: 14,364.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,106.05 : 40,660.22 = 9,575.97 : x
  2. Step 2: Convert to fraction form
    27,106.05/40,660.22 = 9,575.97/x
  3. Step 3: Cross multiply
    27,106.05x = 40,660.22 × 9,575.97
  4. Step 4: Simplify right side
    27,106.05x = 389,360,999.03
  5. Step 5: Solve for x
    x = 389,360,999.03/27,106.05
  6. Step 6: Final answer
    x = 14,364.36

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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.