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Finding the Fourth Proportional to 17,259.34, 25,865.16 and 7,876.48

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Solution

The fourth proportional to 17,259.34, 25,865.16 and 7,876.48 is: 11,803.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,259.34 : 25,865.16 = 7,876.48 : x
  2. Step 2: Convert to fraction form
    17,259.34/25,865.16 = 7,876.48/x
  3. Step 3: Cross multiply
    17,259.34x = 25,865.16 × 7,876.48
  4. Step 4: Simplify right side
    17,259.34x = 203,726,415.44
  5. Step 5: Solve for x
    x = 203,726,415.44/17,259.34
  6. Step 6: Final answer
    x = 11,803.84

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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.