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Finding the Fourth Proportional to 20,575.37, 30,839.76 and 9,459.11

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Solution

The fourth proportional to 20,575.37, 30,839.76 and 9,459.11 is: 14,177.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,575.37 : 30,839.76 = 9,459.11 : x
  2. Step 2: Convert to fraction form
    20,575.37/30,839.76 = 9,459.11/x
  3. Step 3: Cross multiply
    20,575.37x = 30,839.76 × 9,459.11
  4. Step 4: Simplify right side
    20,575.37x = 291,716,682.21
  5. Step 5: Solve for x
    x = 291,716,682.21/20,575.37
  6. Step 6: Final answer
    x = 14,177.96

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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.