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Finding the Fourth Proportional to 24,169, 33,353.31 and 14,104.39

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Solution

The fourth proportional to 24,169, 33,353.31 and 14,104.39 is: 19,464.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,169 : 33,353.31 = 14,104.39 : x
  2. Step 2: Convert to fraction form
    24,169/33,353.31 = 14,104.39/x
  3. Step 3: Cross multiply
    24,169x = 33,353.31 × 14,104.39
  4. Step 4: Simplify right side
    24,169x = 470,428,092.03
  5. Step 5: Solve for x
    x = 470,428,092.03/24,169
  6. Step 6: Final answer
    x = 19,464.11

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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.