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Finding the Fourth Proportional to 20,459.98, 28,234.74 and 11,507.05

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Solution

The fourth proportional to 20,459.98, 28,234.74 and 11,507.05 is: 15,879.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,459.98 : 28,234.74 = 11,507.05 : x
  2. Step 2: Convert to fraction form
    20,459.98/28,234.74 = 11,507.05/x
  3. Step 3: Cross multiply
    20,459.98x = 28,234.74 × 11,507.05
  4. Step 4: Simplify right side
    20,459.98x = 324,898,564.92
  5. Step 5: Solve for x
    x = 324,898,564.92/20,459.98
  6. Step 6: Final answer
    x = 15,879.71

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