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Finding the Fourth Proportional to 27,904.36, 41,863.84 and 16,206.36

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Solution

The fourth proportional to 27,904.36, 41,863.84 and 16,206.36 is: 24,313.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,904.36 : 41,863.84 = 16,206.36 : x
  2. Step 2: Convert to fraction form
    27,904.36/41,863.84 = 16,206.36/x
  3. Step 3: Cross multiply
    27,904.36x = 41,863.84 × 16,206.36
  4. Step 4: Simplify right side
    27,904.36x = 678,460,462.02
  5. Step 5: Solve for x
    x = 678,460,462.02/27,904.36
  6. Step 6: Final answer
    x = 24,313.78

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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.