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Finding the Fourth Proportional to 17,896.97, 24,699.99 and 9,940.07

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Solution

The fourth proportional to 17,896.97, 24,699.99 and 9,940.07 is: 13,718.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,896.97 : 24,699.99 = 9,940.07 : x
  2. Step 2: Convert to fraction form
    17,896.97/24,699.99 = 9,940.07/x
  3. Step 3: Cross multiply
    17,896.97x = 24,699.99 × 9,940.07
  4. Step 4: Simplify right side
    17,896.97x = 245,519,506.10
  5. Step 5: Solve for x
    x = 245,519,506.10/17,896.97
  6. Step 6: Final answer
    x = 13,718.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.