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Finding the Fourth Proportional to 27,895.82, 38,494.38 and 16,564.73

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Solution

The fourth proportional to 27,895.82, 38,494.38 and 16,564.73 is: 22,858.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,895.82 : 38,494.38 = 16,564.73 : x
  2. Step 2: Convert to fraction form
    27,895.82/38,494.38 = 16,564.73/x
  3. Step 3: Cross multiply
    27,895.82x = 38,494.38 × 16,564.73
  4. Step 4: Simplify right side
    27,895.82x = 637,648,818.75
  5. Step 5: Solve for x
    x = 637,648,818.75/27,895.82
  6. Step 6: Final answer
    x = 22,858.23

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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.