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Finding the Fourth Proportional to 24,884.44, 34,340.53 and 13,706.44

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Solution

The fourth proportional to 24,884.44, 34,340.53 and 13,706.44 is: 18,914.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,884.44 : 34,340.53 = 13,706.44 : x
  2. Step 2: Convert to fraction form
    24,884.44/34,340.53 = 13,706.44/x
  3. Step 3: Cross multiply
    24,884.44x = 34,340.53 × 13,706.44
  4. Step 4: Simplify right side
    24,884.44x = 470,686,293.90
  5. Step 5: Solve for x
    x = 470,686,293.90/24,884.44
  6. Step 6: Final answer
    x = 18,914.89

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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.