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Finding the Fourth Proportional to 24,802.22, 34,217.37 and 14,186.18

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Solution

The fourth proportional to 24,802.22, 34,217.37 and 14,186.18 is: 19,571.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,802.22 : 34,217.37 = 14,186.18 : x
  2. Step 2: Convert to fraction form
    24,802.22/34,217.37 = 14,186.18/x
  3. Step 3: Cross multiply
    24,802.22x = 34,217.37 × 14,186.18
  4. Step 4: Simplify right side
    24,802.22x = 485,413,769.95
  5. Step 5: Solve for x
    x = 485,413,769.95/24,802.22
  6. Step 6: Final answer
    x = 19,571.38

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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.