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Finding the Fourth Proportional to 27,447.84, 41,164.92 and 10,577.46

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Solution

The fourth proportional to 27,447.84, 41,164.92 and 10,577.46 is: 15,863.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,447.84 : 41,164.92 = 10,577.46 : x
  2. Step 2: Convert to fraction form
    27,447.84/41,164.92 = 10,577.46/x
  3. Step 3: Cross multiply
    27,447.84x = 41,164.92 × 10,577.46
  4. Step 4: Simplify right side
    27,447.84x = 435,420,294.70
  5. Step 5: Solve for x
    x = 435,420,294.70/27,447.84
  6. Step 6: Final answer
    x = 15,863.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.