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Finding the Fourth Proportional to 13,205.28, 19,800.77 and 5,801.07

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Solution

The fourth proportional to 13,205.28, 19,800.77 and 5,801.07 is: 8,698.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,205.28 : 19,800.77 = 5,801.07 : x
  2. Step 2: Convert to fraction form
    13,205.28/19,800.77 = 5,801.07/x
  3. Step 3: Cross multiply
    13,205.28x = 19,800.77 × 5,801.07
  4. Step 4: Simplify right side
    13,205.28x = 114,865,623.82
  5. Step 5: Solve for x
    x = 114,865,623.82/13,205.28
  6. Step 6: Final answer
    x = 8,698.46

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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.