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Finding the Fourth Proportional to 17,006.50, 25,511.22 and 4,694.50

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Solution

The fourth proportional to 17,006.50, 25,511.22 and 4,694.50 is: 7,042.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,006.50 : 25,511.22 = 4,694.50 : x
  2. Step 2: Convert to fraction form
    17,006.50/25,511.22 = 4,694.50/x
  3. Step 3: Cross multiply
    17,006.50x = 25,511.22 × 4,694.50
  4. Step 4: Simplify right side
    17,006.50x = 119,762,422.29
  5. Step 5: Solve for x
    x = 119,762,422.29/17,006.50
  6. Step 6: Final answer
    x = 7,042.16

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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.