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Finding the Fourth Proportional to 13,246.69, 19,826.78 and 9,735.77

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Solution

The fourth proportional to 13,246.69, 19,826.78 and 9,735.77 is: 14,571.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,246.69 : 19,826.78 = 9,735.77 : x
  2. Step 2: Convert to fraction form
    13,246.69/19,826.78 = 9,735.77/x
  3. Step 3: Cross multiply
    13,246.69x = 19,826.78 × 9,735.77
  4. Step 4: Simplify right side
    13,246.69x = 193,028,915.05
  5. Step 5: Solve for x
    x = 193,028,915.05/13,246.69
  6. Step 6: Final answer
    x = 14,571.86

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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.