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Finding the Fourth Proportional to 24,166, 33,349.17 and 14,101.39

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Solution

The fourth proportional to 24,166, 33,349.17 and 14,101.39 is: 19,459.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,166 : 33,349.17 = 14,101.39 : x
  2. Step 2: Convert to fraction form
    24,166/33,349.17 = 14,101.39/x
  3. Step 3: Cross multiply
    24,166x = 33,349.17 × 14,101.39
  4. Step 4: Simplify right side
    24,166x = 470,269,652.35
  5. Step 5: Solve for x
    x = 470,269,652.35/24,166
  6. Step 6: Final answer
    x = 19,459.97

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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.