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Finding the Fourth Proportional to 18,586.76, 27,876.96 and 6,106.46

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Solution

The fourth proportional to 18,586.76, 27,876.96 and 6,106.46 is: 9,158.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,586.76 : 27,876.96 = 6,106.46 : x
  2. Step 2: Convert to fraction form
    18,586.76/27,876.96 = 6,106.46/x
  3. Step 3: Cross multiply
    18,586.76x = 27,876.96 × 6,106.46
  4. Step 4: Simplify right side
    18,586.76x = 170,229,401.78
  5. Step 5: Solve for x
    x = 170,229,401.78/18,586.76
  6. Step 6: Final answer
    x = 9,158.64

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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.