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Finding the Fourth Proportional to 17,692.80, 26,533.44 and 7,831.86

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Solution

The fourth proportional to 17,692.80, 26,533.44 and 7,831.86 is: 11,745.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,692.80 : 26,533.44 = 7,831.86 : x
  2. Step 2: Convert to fraction form
    17,692.80/26,533.44 = 7,831.86/x
  3. Step 3: Cross multiply
    17,692.80x = 26,533.44 × 7,831.86
  4. Step 4: Simplify right side
    17,692.80x = 207,806,187.40
  5. Step 5: Solve for x
    x = 207,806,187.40/17,692.80
  6. Step 6: Final answer
    x = 11,745.24

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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.