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Finding the Fourth Proportional to 19,876.42, 27,431.21 and 10,925.78

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Solution

The fourth proportional to 19,876.42, 27,431.21 and 10,925.78 is: 15,078.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,876.42 : 27,431.21 = 10,925.78 : x
  2. Step 2: Convert to fraction form
    19,876.42/27,431.21 = 10,925.78/x
  3. Step 3: Cross multiply
    19,876.42x = 27,431.21 × 10,925.78
  4. Step 4: Simplify right side
    19,876.42x = 299,707,310.96
  5. Step 5: Solve for x
    x = 299,707,310.96/19,876.42
  6. Step 6: Final answer
    x = 15,078.54

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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.