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Finding the Fourth Proportional to 25,628.91, 38,447.46 and 8,102.84

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Solution

The fourth proportional to 25,628.91, 38,447.46 and 8,102.84 is: 12,155.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,628.91 : 38,447.46 = 8,102.84 : x
  2. Step 2: Convert to fraction form
    25,628.91/38,447.46 = 8,102.84/x
  3. Step 3: Cross multiply
    25,628.91x = 38,447.46 × 8,102.84
  4. Step 4: Simplify right side
    25,628.91x = 311,533,424.55
  5. Step 5: Solve for x
    x = 311,533,424.55/25,628.91
  6. Step 6: Final answer
    x = 12,155.55

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