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Finding the Fourth Proportional to 20,737, 31,105.50 and 12,941.80

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Solution

The fourth proportional to 20,737, 31,105.50 and 12,941.80 is: 19,412.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,737 : 31,105.50 = 12,941.80 : x
  2. Step 2: Convert to fraction form
    20,737/31,105.50 = 12,941.80/x
  3. Step 3: Cross multiply
    20,737x = 31,105.50 × 12,941.80
  4. Step 4: Simplify right side
    20,737x = 402,561,159.90
  5. Step 5: Solve for x
    x = 402,561,159.90/20,737
  6. Step 6: Final answer
    x = 19,412.70

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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.