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Finding the Fourth Proportional to 17,696.40, 26,542.70 and 11,103

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Solution

The fourth proportional to 17,696.40, 26,542.70 and 11,103 is: 16,653.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,696.40 : 26,542.70 = 11,103 : x
  2. Step 2: Convert to fraction form
    17,696.40/26,542.70 = 11,103/x
  3. Step 3: Cross multiply
    17,696.40x = 26,542.70 × 11,103
  4. Step 4: Simplify right side
    17,696.40x = 294,703,598.10
  5. Step 5: Solve for x
    x = 294,703,598.10/17,696.40
  6. Step 6: Final answer
    x = 16,653.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.