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Finding the Fourth Proportional to 19,072.31, 28,614.67 and 9,212.72

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Solution

The fourth proportional to 19,072.31, 28,614.67 and 9,212.72 is: 13,822.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,072.31 : 28,614.67 = 9,212.72 : x
  2. Step 2: Convert to fraction form
    19,072.31/28,614.67 = 9,212.72/x
  3. Step 3: Cross multiply
    19,072.31x = 28,614.67 × 9,212.72
  4. Step 4: Simplify right side
    19,072.31x = 263,618,776.50
  5. Step 5: Solve for x
    x = 263,618,776.50/19,072.31
  6. Step 6: Final answer
    x = 13,822.07

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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.