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Finding the Fourth Proportional to 12,684.50, 19,021.39 and 3,801.09

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Solution

The fourth proportional to 12,684.50, 19,021.39 and 3,801.09 is: 5,700.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,684.50 : 19,021.39 = 3,801.09 : x
  2. Step 2: Convert to fraction form
    12,684.50/19,021.39 = 3,801.09/x
  3. Step 3: Cross multiply
    12,684.50x = 19,021.39 × 3,801.09
  4. Step 4: Simplify right side
    12,684.50x = 72,302,047.71
  5. Step 5: Solve for x
    x = 72,302,047.71/12,684.50
  6. Step 6: Final answer
    x = 5,700.03

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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.