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Finding the Fourth Proportional to 18,272.44, 25,214.70 and 10,819

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Solution

The fourth proportional to 18,272.44, 25,214.70 and 10,819 is: 14,929.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,272.44 : 25,214.70 = 10,819 : x
  2. Step 2: Convert to fraction form
    18,272.44/25,214.70 = 10,819/x
  3. Step 3: Cross multiply
    18,272.44x = 25,214.70 × 10,819
  4. Step 4: Simplify right side
    18,272.44x = 272,797,839.30
  5. Step 5: Solve for x
    x = 272,797,839.30/18,272.44
  6. Step 6: Final answer
    x = 14,929.47

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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.