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Finding the Fourth Proportional to 27,945, 38,544.57 and 18,381.87

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Solution

The fourth proportional to 27,945, 38,544.57 and 18,381.87 is: 25,354.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,945 : 38,544.57 = 18,381.87 : x
  2. Step 2: Convert to fraction form
    27,945/38,544.57 = 18,381.87/x
  3. Step 3: Cross multiply
    27,945x = 38,544.57 × 18,381.87
  4. Step 4: Simplify right side
    27,945x = 708,521,274.95
  5. Step 5: Solve for x
    x = 708,521,274.95/27,945
  6. Step 6: Final answer
    x = 25,354.13

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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.