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Finding the Fourth Proportional to 20,645.63, 30,972.78 and 10,782.26

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Solution

The fourth proportional to 20,645.63, 30,972.78 and 10,782.26 is: 16,175.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,645.63 : 30,972.78 = 10,782.26 : x
  2. Step 2: Convert to fraction form
    20,645.63/30,972.78 = 10,782.26/x
  3. Step 3: Cross multiply
    20,645.63x = 30,972.78 × 10,782.26
  4. Step 4: Simplify right side
    20,645.63x = 333,956,412.02
  5. Step 5: Solve for x
    x = 333,956,412.02/20,645.63
  6. Step 6: Final answer
    x = 16,175.65

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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.