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Finding the Fourth Proportional to 13,101.58, 18,078.15 and 7,511.50

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Solution

The fourth proportional to 13,101.58, 18,078.15 and 7,511.50 is: 10,364.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,101.58 : 18,078.15 = 7,511.50 : x
  2. Step 2: Convert to fraction form
    13,101.58/18,078.15 = 7,511.50/x
  3. Step 3: Cross multiply
    13,101.58x = 18,078.15 × 7,511.50
  4. Step 4: Simplify right side
    13,101.58x = 135,794,023.73
  5. Step 5: Solve for x
    x = 135,794,023.73/13,101.58
  6. Step 6: Final answer
    x = 10,364.71

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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.