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Finding the Fourth Proportional to 17,042.50, 25,564.96 and 5,355.46

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Solution

The fourth proportional to 17,042.50, 25,564.96 and 5,355.46 is: 8,033.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,042.50 : 25,564.96 = 5,355.46 : x
  2. Step 2: Convert to fraction form
    17,042.50/25,564.96 = 5,355.46/x
  3. Step 3: Cross multiply
    17,042.50x = 25,564.96 × 5,355.46
  4. Step 4: Simplify right side
    17,042.50x = 136,911,992.86
  5. Step 5: Solve for x
    x = 136,911,992.86/17,042.50
  6. Step 6: Final answer
    x = 8,033.57

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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.