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Finding the Fourth Proportional to 20,332.51, 30,496.96 and 7,184.23

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Solution

The fourth proportional to 20,332.51, 30,496.96 and 7,184.23 is: 10,775.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,332.51 : 30,496.96 = 7,184.23 : x
  2. Step 2: Convert to fraction form
    20,332.51/30,496.96 = 7,184.23/x
  3. Step 3: Cross multiply
    20,332.51x = 30,496.96 × 7,184.23
  4. Step 4: Simplify right side
    20,332.51x = 219,097,174.94
  5. Step 5: Solve for x
    x = 219,097,174.94/20,332.51
  6. Step 6: Final answer
    x = 10,775.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.