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Finding the Fourth Proportional to 20,609.85, 28,441.59 and 11,657.16

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Solution

The fourth proportional to 20,609.85, 28,441.59 and 11,657.16 is: 16,086.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,609.85 : 28,441.59 = 11,657.16 : x
  2. Step 2: Convert to fraction form
    20,609.85/28,441.59 = 11,657.16/x
  3. Step 3: Cross multiply
    20,609.85x = 28,441.59 × 11,657.16
  4. Step 4: Simplify right side
    20,609.85x = 331,547,993.93
  5. Step 5: Solve for x
    x = 331,547,993.93/20,609.85
  6. Step 6: Final answer
    x = 16,086.87

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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.