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Finding the Fourth Proportional to 27,744.63, 38,283.12 and 15,808.20

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Solution

The fourth proportional to 27,744.63, 38,283.12 and 15,808.20 is: 21,812.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,744.63 : 38,283.12 = 15,808.20 : x
  2. Step 2: Convert to fraction form
    27,744.63/38,283.12 = 15,808.20/x
  3. Step 3: Cross multiply
    27,744.63x = 38,283.12 × 15,808.20
  4. Step 4: Simplify right side
    27,744.63x = 605,187,217.58
  5. Step 5: Solve for x
    x = 605,187,217.58/27,744.63
  6. Step 6: Final answer
    x = 21,812.77

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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.