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Finding the Fourth Proportional to 17,205.04, 25,823.40 and 10,644.04

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Solution

The fourth proportional to 17,205.04, 25,823.40 and 10,644.04 is: 15,975.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,205.04 : 25,823.40 = 10,644.04 : x
  2. Step 2: Convert to fraction form
    17,205.04/25,823.40 = 10,644.04/x
  3. Step 3: Cross multiply
    17,205.04x = 25,823.40 × 10,644.04
  4. Step 4: Simplify right side
    17,205.04x = 274,865,302.54
  5. Step 5: Solve for x
    x = 274,865,302.54/17,205.04
  6. Step 6: Final answer
    x = 15,975.86

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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.