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Finding the Fourth Proportional to 17,078.76, 25,619.46 and 6,553.82

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Solution

The fourth proportional to 17,078.76, 25,619.46 and 6,553.82 is: 9,831.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,078.76 : 25,619.46 = 6,553.82 : x
  2. Step 2: Convert to fraction form
    17,078.76/25,619.46 = 6,553.82/x
  3. Step 3: Cross multiply
    17,078.76x = 25,619.46 × 6,553.82
  4. Step 4: Simplify right side
    17,078.76x = 167,905,329.34
  5. Step 5: Solve for x
    x = 167,905,329.34/17,078.76
  6. Step 6: Final answer
    x = 9,831.24

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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.