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Finding the Fourth Proportional to 13,101.75, 19,645.94 and 4,333.50

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Solution

The fourth proportional to 13,101.75, 19,645.94 and 4,333.50 is: 6,498.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,101.75 : 19,645.94 = 4,333.50 : x
  2. Step 2: Convert to fraction form
    13,101.75/19,645.94 = 4,333.50/x
  3. Step 3: Cross multiply
    13,101.75x = 19,645.94 × 4,333.50
  4. Step 4: Simplify right side
    13,101.75x = 85,135,691.82
  5. Step 5: Solve for x
    x = 85,135,691.82/13,101.75
  6. Step 6: Final answer
    x = 6,498.04

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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.