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Finding the Fourth Proportional to 17,006.26, 25,512.03 and 8,681.77

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Solution

The fourth proportional to 17,006.26, 25,512.03 and 8,681.77 is: 13,024.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,006.26 : 25,512.03 = 8,681.77 : x
  2. Step 2: Convert to fraction form
    17,006.26/25,512.03 = 8,681.77/x
  3. Step 3: Cross multiply
    17,006.26x = 25,512.03 × 8,681.77
  4. Step 4: Simplify right side
    17,006.26x = 221,489,576.69
  5. Step 5: Solve for x
    x = 221,489,576.69/17,006.26
  6. Step 6: Final answer
    x = 13,024.00

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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.