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Finding the Fourth Proportional to 12,538.44, 18,781.20 and 10,059.84

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Solution

The fourth proportional to 12,538.44, 18,781.20 and 10,059.84 is: 15,068.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,538.44 : 18,781.20 = 10,059.84 : x
  2. Step 2: Convert to fraction form
    12,538.44/18,781.20 = 10,059.84/x
  3. Step 3: Cross multiply
    12,538.44x = 18,781.20 × 10,059.84
  4. Step 4: Simplify right side
    12,538.44x = 188,935,867.01
  5. Step 5: Solve for x
    x = 188,935,867.01/12,538.44
  6. Step 6: Final answer
    x = 15,068.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.