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Finding the Fourth Proportional to 13,744.86, 18,967.96 and 7,457.28

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Solution

The fourth proportional to 13,744.86, 18,967.96 and 7,457.28 is: 10,291.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,744.86 : 18,967.96 = 7,457.28 : x
  2. Step 2: Convert to fraction form
    13,744.86/18,967.96 = 7,457.28/x
  3. Step 3: Cross multiply
    13,744.86x = 18,967.96 × 7,457.28
  4. Step 4: Simplify right side
    13,744.86x = 141,449,351.46
  5. Step 5: Solve for x
    x = 141,449,351.46/13,744.86
  6. Step 6: Final answer
    x = 10,291.07

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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.