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Finding the Fourth Proportional to 24,071.81, 33,219.16 and 13,461.44

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Solution

The fourth proportional to 24,071.81, 33,219.16 and 13,461.44 is: 18,576.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,071.81 : 33,219.16 = 13,461.44 : x
  2. Step 2: Convert to fraction form
    24,071.81/33,219.16 = 13,461.44/x
  3. Step 3: Cross multiply
    24,071.81x = 33,219.16 × 13,461.44
  4. Step 4: Simplify right side
    24,071.81x = 447,177,661.88
  5. Step 5: Solve for x
    x = 447,177,661.88/24,071.81
  6. Step 6: Final answer
    x = 18,576.82

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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.