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Finding the Fourth Proportional to 25,886.64, 38,826.72 and 8,354.64

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Solution

The fourth proportional to 25,886.64, 38,826.72 and 8,354.64 is: 12,530.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,886.64 : 38,826.72 = 8,354.64 : x
  2. Step 2: Convert to fraction form
    25,886.64/38,826.72 = 8,354.64/x
  3. Step 3: Cross multiply
    25,886.64x = 38,826.72 × 8,354.64
  4. Step 4: Simplify right side
    25,886.64x = 324,383,267.98
  5. Step 5: Solve for x
    x = 324,383,267.98/25,886.64
  6. Step 6: Final answer
    x = 12,530.91

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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.