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Finding the Fourth Proportional to 27,833.84, 38,410.72 and 15,087.14

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Solution

The fourth proportional to 27,833.84, 38,410.72 and 15,087.14 is: 20,820.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,833.84 : 38,410.72 = 15,087.14 : x
  2. Step 2: Convert to fraction form
    27,833.84/38,410.72 = 15,087.14/x
  3. Step 3: Cross multiply
    27,833.84x = 38,410.72 × 15,087.14
  4. Step 4: Simplify right side
    27,833.84x = 579,507,910.14
  5. Step 5: Solve for x
    x = 579,507,910.14/27,833.84
  6. Step 6: Final answer
    x = 20,820.26

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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.