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Finding the Fourth Proportional to 15,467.64, 23,213.75 and 5,609.75

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Solution

The fourth proportional to 15,467.64, 23,213.75 and 5,609.75 is: 8,419.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,467.64 : 23,213.75 = 5,609.75 : x
  2. Step 2: Convert to fraction form
    15,467.64/23,213.75 = 5,609.75/x
  3. Step 3: Cross multiply
    15,467.64x = 23,213.75 × 5,609.75
  4. Step 4: Simplify right side
    15,467.64x = 130,223,189.95
  5. Step 5: Solve for x
    x = 130,223,189.95/15,467.64
  6. Step 6: Final answer
    x = 8,419.07

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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.