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Finding the Fourth Proportional to 28,118.24, 38,802.09 and 16,185.41

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Solution

The fourth proportional to 28,118.24, 38,802.09 and 16,185.41 is: 22,335.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,118.24 : 38,802.09 = 16,185.41 : x
  2. Step 2: Convert to fraction form
    28,118.24/38,802.09 = 16,185.41/x
  3. Step 3: Cross multiply
    28,118.24x = 38,802.09 × 16,185.41
  4. Step 4: Simplify right side
    28,118.24x = 628,027,735.51
  5. Step 5: Solve for x
    x = 628,027,735.51/28,118.24
  6. Step 6: Final answer
    x = 22,335.24

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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.