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Finding the Fourth Proportional to 27,644.81, 38,137.80 and 17,567.84

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Solution

The fourth proportional to 27,644.81, 38,137.80 and 17,567.84 is: 24,235.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,644.81 : 38,137.80 = 17,567.84 : x
  2. Step 2: Convert to fraction form
    27,644.81/38,137.80 = 17,567.84/x
  3. Step 3: Cross multiply
    27,644.81x = 38,137.80 × 17,567.84
  4. Step 4: Simplify right side
    27,644.81x = 669,998,863.70
  5. Step 5: Solve for x
    x = 669,998,863.70/27,644.81
  6. Step 6: Final answer
    x = 24,235.98

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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.