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Finding the Fourth Proportional to 24,173.78, 33,359.82 and 14,109.14

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Solution

The fourth proportional to 24,173.78, 33,359.82 and 14,109.14 is: 19,470.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,173.78 : 33,359.82 = 14,109.14 : x
  2. Step 2: Convert to fraction form
    24,173.78/33,359.82 = 14,109.14/x
  3. Step 3: Cross multiply
    24,173.78x = 33,359.82 × 14,109.14
  4. Step 4: Simplify right side
    24,173.78x = 470,678,370.75
  5. Step 5: Solve for x
    x = 470,678,370.75/24,173.78
  6. Step 6: Final answer
    x = 19,470.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.