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Finding the Fourth Proportional to 20,705.85, 28,577.75 and 11,751.57

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Solution

The fourth proportional to 20,705.85, 28,577.75 and 11,751.57 is: 16,219.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,705.85 : 28,577.75 = 11,751.57 : x
  2. Step 2: Convert to fraction form
    20,705.85/28,577.75 = 11,751.57/x
  3. Step 3: Cross multiply
    20,705.85x = 28,577.75 × 11,751.57
  4. Step 4: Simplify right side
    20,705.85x = 335,833,370.81
  5. Step 5: Solve for x
    x = 335,833,370.81/20,705.85
  6. Step 6: Final answer
    x = 16,219.25

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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.