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Finding the Fourth Proportional to 20,513.94, 30,776.10 and 5,722.85

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Solution

The fourth proportional to 20,513.94, 30,776.10 and 5,722.85 is: 8,585.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,513.94 : 30,776.10 = 5,722.85 : x
  2. Step 2: Convert to fraction form
    20,513.94/30,776.10 = 5,722.85/x
  3. Step 3: Cross multiply
    20,513.94x = 30,776.10 × 5,722.85
  4. Step 4: Simplify right side
    20,513.94x = 176,127,003.89
  5. Step 5: Solve for x
    x = 176,127,003.89/20,513.94
  6. Step 6: Final answer
    x = 8,585.72

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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.