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Finding the Fourth Proportional to 18,232.88, 27,332.04 and 7,838

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Solution

The fourth proportional to 18,232.88, 27,332.04 and 7,838 is: 11,749.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,232.88 : 27,332.04 = 7,838 : x
  2. Step 2: Convert to fraction form
    18,232.88/27,332.04 = 7,838/x
  3. Step 3: Cross multiply
    18,232.88x = 27,332.04 × 7,838
  4. Step 4: Simplify right side
    18,232.88x = 214,228,529.52
  5. Step 5: Solve for x
    x = 214,228,529.52/18,232.88
  6. Step 6: Final answer
    x = 11,749.57

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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.