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Finding the Fourth Proportional to 13,735.06, 20,588.22 and 6,344.36

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Solution

The fourth proportional to 13,735.06, 20,588.22 and 6,344.36 is: 9,509.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,735.06 : 20,588.22 = 6,344.36 : x
  2. Step 2: Convert to fraction form
    13,735.06/20,588.22 = 6,344.36/x
  3. Step 3: Cross multiply
    13,735.06x = 20,588.22 × 6,344.36
  4. Step 4: Simplify right side
    13,735.06x = 130,619,053.70
  5. Step 5: Solve for x
    x = 130,619,053.70/13,735.06
  6. Step 6: Final answer
    x = 9,509.90

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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.