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Finding the Fourth Proportional to 17,141, 25,675.04 and 10,113.44

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Solution

The fourth proportional to 17,141, 25,675.04 and 10,113.44 is: 15,148.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,141 : 25,675.04 = 10,113.44 : x
  2. Step 2: Convert to fraction form
    17,141/25,675.04 = 10,113.44/x
  3. Step 3: Cross multiply
    17,141x = 25,675.04 × 10,113.44
  4. Step 4: Simplify right side
    17,141x = 259,662,976.54
  5. Step 5: Solve for x
    x = 259,662,976.54/17,141
  6. Step 6: Final answer
    x = 15,148.65

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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.