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Finding the Fourth Proportional to 25,581.50, 38,370.38 and 8,056.34

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Solution

The fourth proportional to 25,581.50, 38,370.38 and 8,056.34 is: 12,083.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,581.50 : 38,370.38 = 8,056.34 : x
  2. Step 2: Convert to fraction form
    25,581.50/38,370.38 = 8,056.34/x
  3. Step 3: Cross multiply
    25,581.50x = 38,370.38 × 8,056.34
  4. Step 4: Simplify right side
    25,581.50x = 309,124,738.96
  5. Step 5: Solve for x
    x = 309,124,738.96/25,581.50
  6. Step 6: Final answer
    x = 12,083.92

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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.