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Finding the Fourth Proportional to 13,007.88, 19,511.73 and 5,216.58

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Solution

The fourth proportional to 13,007.88, 19,511.73 and 5,216.58 is: 7,824.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,007.88 : 19,511.73 = 5,216.58 : x
  2. Step 2: Convert to fraction form
    13,007.88/19,511.73 = 5,216.58/x
  3. Step 3: Cross multiply
    13,007.88x = 19,511.73 × 5,216.58
  4. Step 4: Simplify right side
    13,007.88x = 101,784,500.48
  5. Step 5: Solve for x
    x = 101,784,500.48/13,007.88
  6. Step 6: Final answer
    x = 7,824.83

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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.