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Finding the Fourth Proportional to 17,310.06, 23,888.25 and 9,756

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Solution

The fourth proportional to 17,310.06, 23,888.25 and 9,756 is: 13,463.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,310.06 : 23,888.25 = 9,756 : x
  2. Step 2: Convert to fraction form
    17,310.06/23,888.25 = 9,756/x
  3. Step 3: Cross multiply
    17,310.06x = 23,888.25 × 9,756
  4. Step 4: Simplify right side
    17,310.06x = 233,053,767
  5. Step 5: Solve for x
    x = 233,053,767/17,310.06
  6. Step 6: Final answer
    x = 13,463.49

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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.