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Finding the Fourth Proportional to 20,764, 28,656.96 and 13,705.12

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Solution

The fourth proportional to 20,764, 28,656.96 and 13,705.12 is: 18,914.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,764 : 28,656.96 = 13,705.12 : x
  2. Step 2: Convert to fraction form
    20,764/28,656.96 = 13,705.12/x
  3. Step 3: Cross multiply
    20,764x = 28,656.96 × 13,705.12
  4. Step 4: Simplify right side
    20,764x = 392,747,075.64
  5. Step 5: Solve for x
    x = 392,747,075.64/20,764
  6. Step 6: Final answer
    x = 18,914.81

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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.