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Finding the Fourth Proportional to 14,324.74, 19,767.83 and 7,950.95

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Solution

The fourth proportional to 14,324.74, 19,767.83 and 7,950.95 is: 10,972.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,324.74 : 19,767.83 = 7,950.95 : x
  2. Step 2: Convert to fraction form
    14,324.74/19,767.83 = 7,950.95/x
  3. Step 3: Cross multiply
    14,324.74x = 19,767.83 × 7,950.95
  4. Step 4: Simplify right side
    14,324.74x = 157,173,037.60
  5. Step 5: Solve for x
    x = 157,173,037.60/14,324.74
  6. Step 6: Final answer
    x = 10,972.14

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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.