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Finding the Fourth Proportional to 20,416.26, 30,624.38 and 6,565.26

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Solution

The fourth proportional to 20,416.26, 30,624.38 and 6,565.26 is: 9,847.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,416.26 : 30,624.38 = 6,565.26 : x
  2. Step 2: Convert to fraction form
    20,416.26/30,624.38 = 6,565.26/x
  3. Step 3: Cross multiply
    20,416.26x = 30,624.38 × 6,565.26
  4. Step 4: Simplify right side
    20,416.26x = 201,057,017.04
  5. Step 5: Solve for x
    x = 201,057,017.04/20,416.26
  6. Step 6: Final answer
    x = 9,847.89

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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.