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Finding the Fourth Proportional to 13,483.44, 20,200.52 and 9,776.48

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Solution

The fourth proportional to 13,483.44, 20,200.52 and 9,776.48 is: 14,646.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,483.44 : 20,200.52 = 9,776.48 : x
  2. Step 2: Convert to fraction form
    13,483.44/20,200.52 = 9,776.48/x
  3. Step 3: Cross multiply
    13,483.44x = 20,200.52 × 9,776.48
  4. Step 4: Simplify right side
    13,483.44x = 197,489,903.21
  5. Step 5: Solve for x
    x = 197,489,903.21/13,483.44
  6. Step 6: Final answer
    x = 14,646.85

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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.