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Finding the Fourth Proportional to 13,744.98, 18,968.44 and 7,457.35

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Solution

The fourth proportional to 13,744.98, 18,968.44 and 7,457.35 is: 10,291.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,744.98 : 18,968.44 = 7,457.35 : x
  2. Step 2: Convert to fraction form
    13,744.98/18,968.44 = 7,457.35/x
  3. Step 3: Cross multiply
    13,744.98x = 18,968.44 × 7,457.35
  4. Step 4: Simplify right side
    13,744.98x = 141,454,296.03
  5. Step 5: Solve for x
    x = 141,454,296.03/13,744.98
  6. Step 6: Final answer
    x = 10,291.34

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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.