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Finding the Fourth Proportional to 15,453.96, 21,325.74 and 8,380.24

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Solution

The fourth proportional to 15,453.96, 21,325.74 and 8,380.24 is: 11,564.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,453.96 : 21,325.74 = 8,380.24 : x
  2. Step 2: Convert to fraction form
    15,453.96/21,325.74 = 8,380.24/x
  3. Step 3: Cross multiply
    15,453.96x = 21,325.74 × 8,380.24
  4. Step 4: Simplify right side
    15,453.96x = 178,714,819.38
  5. Step 5: Solve for x
    x = 178,714,819.38/15,453.96
  6. Step 6: Final answer
    x = 11,564.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.