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Finding the Fourth Proportional to 20,408.24, 30,609.48 and 6,365

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Solution

The fourth proportional to 20,408.24, 30,609.48 and 6,365 is: 9,546.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,408.24 : 30,609.48 = 6,365 : x
  2. Step 2: Convert to fraction form
    20,408.24/30,609.48 = 6,365/x
  3. Step 3: Cross multiply
    20,408.24x = 30,609.48 × 6,365
  4. Step 4: Simplify right side
    20,408.24x = 194,829,340.20
  5. Step 5: Solve for x
    x = 194,829,340.20/20,408.24
  6. Step 6: Final answer
    x = 9,546.60

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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.