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Finding the Fourth Proportional to 17,257.50, 25,886.34 and 4,945.50

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Solution

The fourth proportional to 17,257.50, 25,886.34 and 4,945.50 is: 7,418.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,257.50 : 25,886.34 = 4,945.50 : x
  2. Step 2: Convert to fraction form
    17,257.50/25,886.34 = 4,945.50/x
  3. Step 3: Cross multiply
    17,257.50x = 25,886.34 × 4,945.50
  4. Step 4: Simplify right side
    17,257.50x = 128,020,894.47
  5. Step 5: Solve for x
    x = 128,020,894.47/17,257.50
  6. Step 6: Final answer
    x = 7,418.28

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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.