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Finding the Fourth Proportional to 27,896.00, 38,494.64 and 16,564.91

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Solution

The fourth proportional to 27,896.00, 38,494.64 and 16,564.91 is: 22,858.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,896.00 : 38,494.64 = 16,564.91 : x
  2. Step 2: Convert to fraction form
    27,896.00/38,494.64 = 16,564.91/x
  3. Step 3: Cross multiply
    27,896.00x = 38,494.64 × 16,564.91
  4. Step 4: Simplify right side
    27,896.00x = 637,660,096.02
  5. Step 5: Solve for x
    x = 637,660,096.02/27,896.00
  6. Step 6: Final answer
    x = 22,858.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.