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Finding the Fourth Proportional to 13,142.65, 18,143.36 and 8,109.64

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Solution

The fourth proportional to 13,142.65, 18,143.36 and 8,109.64 is: 11,195.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,142.65 : 18,143.36 = 8,109.64 : x
  2. Step 2: Convert to fraction form
    13,142.65/18,143.36 = 8,109.64/x
  3. Step 3: Cross multiply
    13,142.65x = 18,143.36 × 8,109.64
  4. Step 4: Simplify right side
    13,142.65x = 147,136,117.99
  5. Step 5: Solve for x
    x = 147,136,117.99/13,142.65
  6. Step 6: Final answer
    x = 11,195.32

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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.