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Finding the Fourth Proportional to 27,809.81, 38,380.29 and 15,874.94

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Solution

The fourth proportional to 27,809.81, 38,380.29 and 15,874.94 is: 21,908.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,809.81 : 38,380.29 = 15,874.94 : x
  2. Step 2: Convert to fraction form
    27,809.81/38,380.29 = 15,874.94/x
  3. Step 3: Cross multiply
    27,809.81x = 38,380.29 × 15,874.94
  4. Step 4: Simplify right side
    27,809.81x = 609,284,800.93
  5. Step 5: Solve for x
    x = 609,284,800.93/27,809.81
  6. Step 6: Final answer
    x = 21,908.99

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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.