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Finding the Fourth Proportional to 13,005.87, 19,500.60 and 7,166.58

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Solution

The fourth proportional to 13,005.87, 19,500.60 and 7,166.58 is: 10,745.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,005.87 : 19,500.60 = 7,166.58 : x
  2. Step 2: Convert to fraction form
    13,005.87/19,500.60 = 7,166.58/x
  3. Step 3: Cross multiply
    13,005.87x = 19,500.60 × 7,166.58
  4. Step 4: Simplify right side
    13,005.87x = 139,752,609.95
  5. Step 5: Solve for x
    x = 139,752,609.95/13,005.87
  6. Step 6: Final answer
    x = 10,745.35

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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.