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Finding the Fourth Proportional to 18,586.40, 25,638 and 12,300.80

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Solution

The fourth proportional to 18,586.40, 25,638 and 12,300.80 is: 16,967.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,586.40 : 25,638 = 12,300.80 : x
  2. Step 2: Convert to fraction form
    18,586.40/25,638 = 12,300.80/x
  3. Step 3: Cross multiply
    18,586.40x = 25,638 × 12,300.80
  4. Step 4: Simplify right side
    18,586.40x = 315,367,910.40
  5. Step 5: Solve for x
    x = 315,367,910.40/18,586.40
  6. Step 6: Final answer
    x = 16,967.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.