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Finding the Fourth Proportional to 21,719.97, 29,977.02 and 12,769.65

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Solution

The fourth proportional to 21,719.97, 29,977.02 and 12,769.65 is: 17,624.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,719.97 : 29,977.02 = 12,769.65 : x
  2. Step 2: Convert to fraction form
    21,719.97/29,977.02 = 12,769.65/x
  3. Step 3: Cross multiply
    21,719.97x = 29,977.02 × 12,769.65
  4. Step 4: Simplify right side
    21,719.97x = 382,796,053.44
  5. Step 5: Solve for x
    x = 382,796,053.44/21,719.97
  6. Step 6: Final answer
    x = 17,624.15

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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.