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Finding the Fourth Proportional to 13,509.70, 18,643.44 and 8,200.96

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Solution

The fourth proportional to 13,509.70, 18,643.44 and 8,200.96 is: 11,317.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,509.70 : 18,643.44 = 8,200.96 : x
  2. Step 2: Convert to fraction form
    13,509.70/18,643.44 = 8,200.96/x
  3. Step 3: Cross multiply
    13,509.70x = 18,643.44 × 8,200.96
  4. Step 4: Simplify right side
    13,509.70x = 152,894,105.70
  5. Step 5: Solve for x
    x = 152,894,105.70/13,509.70
  6. Step 6: Final answer
    x = 11,317.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.