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Finding the Fourth Proportional to 15,382.69, 21,223.25 and 9,411.37

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Solution

The fourth proportional to 15,382.69, 21,223.25 and 9,411.37 is: 12,984.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,382.69 : 21,223.25 = 9,411.37 : x
  2. Step 2: Convert to fraction form
    15,382.69/21,223.25 = 9,411.37/x
  3. Step 3: Cross multiply
    15,382.69x = 21,223.25 × 9,411.37
  4. Step 4: Simplify right side
    15,382.69x = 199,739,793.53
  5. Step 5: Solve for x
    x = 199,739,793.53/15,382.69
  6. Step 6: Final answer
    x = 12,984.71

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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.