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Finding the Fourth Proportional to 17,725.65, 24,471.60 and 11,765.40

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Solution

The fourth proportional to 17,725.65, 24,471.60 and 11,765.40 is: 16,243.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,725.65 : 24,471.60 = 11,765.40 : x
  2. Step 2: Convert to fraction form
    17,725.65/24,471.60 = 11,765.40/x
  3. Step 3: Cross multiply
    17,725.65x = 24,471.60 × 11,765.40
  4. Step 4: Simplify right side
    17,725.65x = 287,918,162.64
  5. Step 5: Solve for x
    x = 287,918,162.64/17,725.65
  6. Step 6: Final answer
    x = 16,243.02

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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.