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Finding the Fourth Proportional to 20,408.37, 30,624.90 and 7,259.75

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Solution

The fourth proportional to 20,408.37, 30,624.90 and 7,259.75 is: 10,894.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,408.37 : 30,624.90 = 7,259.75 : x
  2. Step 2: Convert to fraction form
    20,408.37/30,624.90 = 7,259.75/x
  3. Step 3: Cross multiply
    20,408.37x = 30,624.90 × 7,259.75
  4. Step 4: Simplify right side
    20,408.37x = 222,329,117.78
  5. Step 5: Solve for x
    x = 222,329,117.78/20,408.37
  6. Step 6: Final answer
    x = 10,894.02

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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.