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Finding the Fourth Proportional to 27,684.89, 38,201.57 and 15,583.84

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Solution

The fourth proportional to 27,684.89, 38,201.57 and 15,583.84 is: 21,503.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,684.89 : 38,201.57 = 15,583.84 : x
  2. Step 2: Convert to fraction form
    27,684.89/38,201.57 = 15,583.84/x
  3. Step 3: Cross multiply
    27,684.89x = 38,201.57 × 15,583.84
  4. Step 4: Simplify right side
    27,684.89x = 595,327,342.19
  5. Step 5: Solve for x
    x = 595,327,342.19/27,684.89
  6. Step 6: Final answer
    x = 21,503.69

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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.