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Finding the Fourth Proportional to 20,773.14, 31,133.25 and 14,941.14

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Solution

The fourth proportional to 20,773.14, 31,133.25 and 14,941.14 is: 22,392.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,773.14 : 31,133.25 = 14,941.14 : x
  2. Step 2: Convert to fraction form
    20,773.14/31,133.25 = 14,941.14/x
  3. Step 3: Cross multiply
    20,773.14x = 31,133.25 × 14,941.14
  4. Step 4: Simplify right side
    20,773.14x = 465,166,246.91
  5. Step 5: Solve for x
    x = 465,166,246.91/20,773.14
  6. Step 6: Final answer
    x = 22,392.68

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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.