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Finding the Fourth Proportional to 14,503.20, 20,012.80 and 8,214.24

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Solution

The fourth proportional to 14,503.20, 20,012.80 and 8,214.24 is: 11,334.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,503.20 : 20,012.80 = 8,214.24 : x
  2. Step 2: Convert to fraction form
    14,503.20/20,012.80 = 8,214.24/x
  3. Step 3: Cross multiply
    14,503.20x = 20,012.80 × 8,214.24
  4. Step 4: Simplify right side
    14,503.20x = 164,389,942.27
  5. Step 5: Solve for x
    x = 164,389,942.27/14,503.20
  6. Step 6: Final answer
    x = 11,334.74

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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.