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Finding the Fourth Proportional to 14,684.85, 20,266.09 and 8,311.45

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Solution

The fourth proportional to 14,684.85, 20,266.09 and 8,311.45 is: 11,470.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,684.85 : 20,266.09 = 8,311.45 : x
  2. Step 2: Convert to fraction form
    14,684.85/20,266.09 = 8,311.45/x
  3. Step 3: Cross multiply
    14,684.85x = 20,266.09 × 8,311.45
  4. Step 4: Simplify right side
    14,684.85x = 168,440,492.40
  5. Step 5: Solve for x
    x = 168,440,492.40/14,684.85
  6. Step 6: Final answer
    x = 11,470.36

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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.