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Finding the Fourth Proportional to 25,913.64, 38,876.13 and 8,383.22

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Solution

The fourth proportional to 25,913.64, 38,876.13 and 8,383.22 is: 12,576.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,913.64 : 38,876.13 = 8,383.22 : x
  2. Step 2: Convert to fraction form
    25,913.64/38,876.13 = 8,383.22/x
  3. Step 3: Cross multiply
    25,913.64x = 38,876.13 × 8,383.22
  4. Step 4: Simplify right side
    25,913.64x = 325,906,956.16
  5. Step 5: Solve for x
    x = 325,906,956.16/25,913.64
  6. Step 6: Final answer
    x = 12,576.66

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Why These Related Problems?

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