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Finding the Fourth Proportional to 14,324.63, 19,767.68 and 7,950.85

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Solution

The fourth proportional to 14,324.63, 19,767.68 and 7,950.85 is: 10,972.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,324.63 : 19,767.68 = 7,950.85 : x
  2. Step 2: Convert to fraction form
    14,324.63/19,767.68 = 7,950.85/x
  3. Step 3: Cross multiply
    14,324.63x = 19,767.68 × 7,950.85
  4. Step 4: Simplify right side
    14,324.63x = 157,169,858.53
  5. Step 5: Solve for x
    x = 157,169,858.53/14,324.63
  6. Step 6: Final answer
    x = 10,972.00

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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.