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Finding the Fourth Proportional to 17,092.71, 25,623.82 and 9,199.46

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Solution

The fourth proportional to 17,092.71, 25,623.82 and 9,199.46 is: 13,790.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,092.71 : 25,623.82 = 9,199.46 : x
  2. Step 2: Convert to fraction form
    17,092.71/25,623.82 = 9,199.46/x
  3. Step 3: Cross multiply
    17,092.71x = 25,623.82 × 9,199.46
  4. Step 4: Simplify right side
    17,092.71x = 235,725,307.14
  5. Step 5: Solve for x
    x = 235,725,307.14/17,092.71
  6. Step 6: Final answer
    x = 13,790.98

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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.