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Finding the Fourth Proportional to 14,119.11, 19,483.29 and 7,744.68

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Solution

The fourth proportional to 14,119.11, 19,483.29 and 7,744.68 is: 10,687.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,119.11 : 19,483.29 = 7,744.68 : x
  2. Step 2: Convert to fraction form
    14,119.11/19,483.29 = 7,744.68/x
  3. Step 3: Cross multiply
    14,119.11x = 19,483.29 × 7,744.68
  4. Step 4: Simplify right side
    14,119.11x = 150,891,846.40
  5. Step 5: Solve for x
    x = 150,891,846.40/14,119.11
  6. Step 6: Final answer
    x = 10,687.07

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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.