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Finding the Fourth Proportional to 13,751.20, 20,629.68 and 4,516

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Solution

The fourth proportional to 13,751.20, 20,629.68 and 4,516 is: 6,774.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,751.20 : 20,629.68 = 4,516 : x
  2. Step 2: Convert to fraction form
    13,751.20/20,629.68 = 4,516/x
  3. Step 3: Cross multiply
    13,751.20x = 20,629.68 × 4,516
  4. Step 4: Simplify right side
    13,751.20x = 93,163,634.88
  5. Step 5: Solve for x
    x = 93,163,634.88/13,751.20
  6. Step 6: Final answer
    x = 6,774.95

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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.