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Finding the Fourth Proportional to 27,846.84, 38,428.16 and 15,747.12

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Solution

The fourth proportional to 27,846.84, 38,428.16 and 15,747.12 is: 21,730.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,846.84 : 38,428.16 = 15,747.12 : x
  2. Step 2: Convert to fraction form
    27,846.84/38,428.16 = 15,747.12/x
  3. Step 3: Cross multiply
    27,846.84x = 38,428.16 × 15,747.12
  4. Step 4: Simplify right side
    27,846.84x = 605,132,846.90
  5. Step 5: Solve for x
    x = 605,132,846.90/27,846.84
  6. Step 6: Final answer
    x = 21,730.75

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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.