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Finding the Fourth Proportional to 13,788.14, 20,685.86 and 7,212.56

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Solution

The fourth proportional to 13,788.14, 20,685.86 and 7,212.56 is: 10,820.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,788.14 : 20,685.86 = 7,212.56 : x
  2. Step 2: Convert to fraction form
    13,788.14/20,685.86 = 7,212.56/x
  3. Step 3: Cross multiply
    13,788.14x = 20,685.86 × 7,212.56
  4. Step 4: Simplify right side
    13,788.14x = 149,197,866.91
  5. Step 5: Solve for x
    x = 149,197,866.91/13,788.14
  6. Step 6: Final answer
    x = 10,820.74

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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.