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Finding the Fourth Proportional to 24,629.40, 33,973.02 and 14,016.78

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Solution

The fourth proportional to 24,629.40, 33,973.02 and 14,016.78 is: 19,334.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,629.40 : 33,973.02 = 14,016.78 : x
  2. Step 2: Convert to fraction form
    24,629.40/33,973.02 = 14,016.78/x
  3. Step 3: Cross multiply
    24,629.40x = 33,973.02 × 14,016.78
  4. Step 4: Simplify right side
    24,629.40x = 476,192,347.28
  5. Step 5: Solve for x
    x = 476,192,347.28/24,629.40
  6. Step 6: Final answer
    x = 19,334.31

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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.