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Finding the Fourth Proportional to 17,869.80, 24,649.16 and 11,504.69

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Solution

The fourth proportional to 17,869.80, 24,649.16 and 11,504.69 is: 15,869.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,869.80 : 24,649.16 = 11,504.69 : x
  2. Step 2: Convert to fraction form
    17,869.80/24,649.16 = 11,504.69/x
  3. Step 3: Cross multiply
    17,869.80x = 24,649.16 × 11,504.69
  4. Step 4: Simplify right side
    17,869.80x = 283,580,763.79
  5. Step 5: Solve for x
    x = 283,580,763.79/17,869.80
  6. Step 6: Final answer
    x = 15,869.27

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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.