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Finding the Fourth Proportional to 13,642.16, 18,744.61 and 10,842.80

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Solution

The fourth proportional to 13,642.16, 18,744.61 and 10,842.80 is: 14,898.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,642.16 : 18,744.61 = 10,842.80 : x
  2. Step 2: Convert to fraction form
    13,642.16/18,744.61 = 10,842.80/x
  3. Step 3: Cross multiply
    13,642.16x = 18,744.61 × 10,842.80
  4. Step 4: Simplify right side
    13,642.16x = 203,244,057.31
  5. Step 5: Solve for x
    x = 203,244,057.31/13,642.16
  6. Step 6: Final answer
    x = 14,898.23

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.