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Finding the Fourth Proportional to 20,764, 31,155.72 and 9,080.56

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Solution

The fourth proportional to 20,764, 31,155.72 and 9,080.56 is: 13,625.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,764 : 31,155.72 = 9,080.56 : x
  2. Step 2: Convert to fraction form
    20,764/31,155.72 = 9,080.56/x
  3. Step 3: Cross multiply
    20,764x = 31,155.72 × 9,080.56
  4. Step 4: Simplify right side
    20,764x = 282,911,384.80
  5. Step 5: Solve for x
    x = 282,911,384.80/20,764
  6. Step 6: Final answer
    x = 13,625.09

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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.