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Finding the Fourth Proportional to 17,053.62, 25,583.29 and 7,693.41

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Solution

The fourth proportional to 17,053.62, 25,583.29 and 7,693.41 is: 11,541.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,053.62 : 25,583.29 = 7,693.41 : x
  2. Step 2: Convert to fraction form
    17,053.62/25,583.29 = 7,693.41/x
  3. Step 3: Cross multiply
    17,053.62x = 25,583.29 × 7,693.41
  4. Step 4: Simplify right side
    17,053.62x = 196,822,700.65
  5. Step 5: Solve for x
    x = 196,822,700.65/17,053.62
  6. Step 6: Final answer
    x = 11,541.41

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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.