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Finding the Fourth Proportional to 24,615.69, 33,969.74 and 14,005.09

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Solution

The fourth proportional to 24,615.69, 33,969.74 and 14,005.09 is: 19,327.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,615.69 : 33,969.74 = 14,005.09 : x
  2. Step 2: Convert to fraction form
    24,615.69/33,969.74 = 14,005.09/x
  3. Step 3: Cross multiply
    24,615.69x = 33,969.74 × 14,005.09
  4. Step 4: Simplify right side
    24,615.69x = 475,749,265.98
  5. Step 5: Solve for x
    x = 475,749,265.98/24,615.69
  6. Step 6: Final answer
    x = 19,327.07

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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.