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Finding the Fourth Proportional to 11,952.50, 17,928.20 and 3,632.45

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Solution

The fourth proportional to 11,952.50, 17,928.20 and 3,632.45 is: 5,448.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,952.50 : 17,928.20 = 3,632.45 : x
  2. Step 2: Convert to fraction form
    11,952.50/17,928.20 = 3,632.45/x
  3. Step 3: Cross multiply
    11,952.50x = 17,928.20 × 3,632.45
  4. Step 4: Simplify right side
    11,952.50x = 65,123,209.53
  5. Step 5: Solve for x
    x = 65,123,209.53/11,952.50
  6. Step 6: Final answer
    x = 5,448.50

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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.