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Finding the Fourth Proportional to 19,930.50, 29,880.77 and 12,035.70

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Solution

The fourth proportional to 19,930.50, 29,880.77 and 12,035.70 is: 18,044.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,930.50 : 29,880.77 = 12,035.70 : x
  2. Step 2: Convert to fraction form
    19,930.50/29,880.77 = 12,035.70/x
  3. Step 3: Cross multiply
    19,930.50x = 29,880.77 × 12,035.70
  4. Step 4: Simplify right side
    19,930.50x = 359,635,923.31
  5. Step 5: Solve for x
    x = 359,635,923.31/19,930.50
  6. Step 6: Final answer
    x = 18,044.50

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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.