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Finding the Fourth Proportional to 13,107.83, 19,639.87 and 9,205.25

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Solution

The fourth proportional to 13,107.83, 19,639.87 and 9,205.25 is: 13,792.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,107.83 : 19,639.87 = 9,205.25 : x
  2. Step 2: Convert to fraction form
    13,107.83/19,639.87 = 9,205.25/x
  3. Step 3: Cross multiply
    13,107.83x = 19,639.87 × 9,205.25
  4. Step 4: Simplify right side
    13,107.83x = 180,789,792.11
  5. Step 5: Solve for x
    x = 180,789,792.11/13,107.83
  6. Step 6: Final answer
    x = 13,792.51

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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.