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Finding the Fourth Proportional to 11,563.80, 17,346.18 and 9,629.64

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Solution

The fourth proportional to 11,563.80, 17,346.18 and 9,629.64 is: 14,444.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,563.80 : 17,346.18 = 9,629.64 : x
  2. Step 2: Convert to fraction form
    11,563.80/17,346.18 = 9,629.64/x
  3. Step 3: Cross multiply
    11,563.80x = 17,346.18 × 9,629.64
  4. Step 4: Simplify right side
    11,563.80x = 167,037,468.78
  5. Step 5: Solve for x
    x = 167,037,468.78/11,563.80
  6. Step 6: Final answer
    x = 14,444.86

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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.