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Finding the Fourth Proportional to 19,589.50, 27,032.76 and 10,636.80

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Solution

The fourth proportional to 19,589.50, 27,032.76 and 10,636.80 is: 14,678.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,589.50 : 27,032.76 = 10,636.80 : x
  2. Step 2: Convert to fraction form
    19,589.50/27,032.76 = 10,636.80/x
  3. Step 3: Cross multiply
    19,589.50x = 27,032.76 × 10,636.80
  4. Step 4: Simplify right side
    19,589.50x = 287,542,061.57
  5. Step 5: Solve for x
    x = 287,542,061.57/19,589.50
  6. Step 6: Final answer
    x = 14,678.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.