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Finding the Fourth Proportional to 20,827.94, 31,242.03 and 8,515.94

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Solution

The fourth proportional to 20,827.94, 31,242.03 and 8,515.94 is: 12,773.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,827.94 : 31,242.03 = 8,515.94 : x
  2. Step 2: Convert to fraction form
    20,827.94/31,242.03 = 8,515.94/x
  3. Step 3: Cross multiply
    20,827.94x = 31,242.03 × 8,515.94
  4. Step 4: Simplify right side
    20,827.94x = 266,055,252.96
  5. Step 5: Solve for x
    x = 266,055,252.96/20,827.94
  6. Step 6: Final answer
    x = 12,773.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.