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Finding the Fourth Proportional to 25,793.58, 38,695.94 and 8,023.90

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Solution

The fourth proportional to 25,793.58, 38,695.94 and 8,023.90 is: 12,037.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,793.58 : 38,695.94 = 8,023.90 : x
  2. Step 2: Convert to fraction form
    25,793.58/38,695.94 = 8,023.90/x
  3. Step 3: Cross multiply
    25,793.58x = 38,695.94 × 8,023.90
  4. Step 4: Simplify right side
    25,793.58x = 310,492,352.97
  5. Step 5: Solve for x
    x = 310,492,352.97/25,793.58
  6. Step 6: Final answer
    x = 12,037.58

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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.