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Finding the Fourth Proportional to 27,665.42, 38,167.00 and 19,286.78

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Solution

The fourth proportional to 27,665.42, 38,167.00 and 19,286.78 is: 26,607.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,665.42 : 38,167.00 = 19,286.78 : x
  2. Step 2: Convert to fraction form
    27,665.42/38,167.00 = 19,286.78/x
  3. Step 3: Cross multiply
    27,665.42x = 38,167.00 × 19,286.78
  4. Step 4: Simplify right side
    27,665.42x = 736,118,293.21
  5. Step 5: Solve for x
    x = 736,118,293.21/27,665.42
  6. Step 6: Final answer
    x = 26,607.89

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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.