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Finding the Fourth Proportional to 17,619.20, 24,315.62 and 11,640.38

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Solution

The fourth proportional to 17,619.20, 24,315.62 and 11,640.38 is: 16,064.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,619.20 : 24,315.62 = 11,640.38 : x
  2. Step 2: Convert to fraction form
    17,619.20/24,315.62 = 11,640.38/x
  3. Step 3: Cross multiply
    17,619.20x = 24,315.62 × 11,640.38
  4. Step 4: Simplify right side
    17,619.20x = 283,043,056.74
  5. Step 5: Solve for x
    x = 283,043,056.74/17,619.20
  6. Step 6: Final answer
    x = 16,064.47

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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.