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Finding the Fourth Proportional to 14,324.23, 19,767.20 and 7,950.81

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Solution

The fourth proportional to 14,324.23, 19,767.20 and 7,950.81 is: 10,971.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,324.23 : 19,767.20 = 7,950.81 : x
  2. Step 2: Convert to fraction form
    14,324.23/19,767.20 = 7,950.81/x
  3. Step 3: Cross multiply
    14,324.23x = 19,767.20 × 7,950.81
  4. Step 4: Simplify right side
    14,324.23x = 157,165,251.43
  5. Step 5: Solve for x
    x = 157,165,251.43/14,324.23
  6. Step 6: Final answer
    x = 10,971.99

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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.