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Finding the Fourth Proportional to 17,006, 25,510.44 and 4,694

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Solution

The fourth proportional to 17,006, 25,510.44 and 4,694 is: 7,041.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,006 : 25,510.44 = 4,694 : x
  2. Step 2: Convert to fraction form
    17,006/25,510.44 = 4,694/x
  3. Step 3: Cross multiply
    17,006x = 25,510.44 × 4,694
  4. Step 4: Simplify right side
    17,006x = 119,746,005.36
  5. Step 5: Solve for x
    x = 119,746,005.36/17,006
  6. Step 6: Final answer
    x = 7,041.40

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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.