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Finding the Fourth Proportional to 13,005.45, 19,508.02 and 5,219.73

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Solution

The fourth proportional to 13,005.45, 19,508.02 and 5,219.73 is: 7,829.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,005.45 : 19,508.02 = 5,219.73 : x
  2. Step 2: Convert to fraction form
    13,005.45/19,508.02 = 5,219.73/x
  3. Step 3: Cross multiply
    13,005.45x = 19,508.02 × 5,219.73
  4. Step 4: Simplify right side
    13,005.45x = 101,826,597.23
  5. Step 5: Solve for x
    x = 101,826,597.23/13,005.45
  6. Step 6: Final answer
    x = 7,829.53

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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.