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Finding the Fourth Proportional to 25,793.14, 38,695.28 and 8,023.46

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Solution

The fourth proportional to 25,793.14, 38,695.28 and 8,023.46 is: 12,036.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,793.14 : 38,695.28 = 8,023.46 : x
  2. Step 2: Convert to fraction form
    25,793.14/38,695.28 = 8,023.46/x
  3. Step 3: Cross multiply
    25,793.14x = 38,695.28 × 8,023.46
  4. Step 4: Simplify right side
    25,793.14x = 310,470,191.86
  5. Step 5: Solve for x
    x = 310,470,191.86/25,793.14
  6. Step 6: Final answer
    x = 12,036.93

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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.