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Finding the Fourth Proportional to 24,480.71, 33,784.76 and 13,729.03

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Solution

The fourth proportional to 24,480.71, 33,784.76 and 13,729.03 is: 18,946.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,480.71 : 33,784.76 = 13,729.03 : x
  2. Step 2: Convert to fraction form
    24,480.71/33,784.76 = 13,729.03/x
  3. Step 3: Cross multiply
    24,480.71x = 33,784.76 × 13,729.03
  4. Step 4: Simplify right side
    24,480.71x = 463,831,933.44
  5. Step 5: Solve for x
    x = 463,831,933.44/24,480.71
  6. Step 6: Final answer
    x = 18,946.83

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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.