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Finding the Fourth Proportional to 20,571.94, 30,854.02 and 10,031.38

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Solution

The fourth proportional to 20,571.94, 30,854.02 and 10,031.38 is: 15,045.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,571.94 : 30,854.02 = 10,031.38 : x
  2. Step 2: Convert to fraction form
    20,571.94/30,854.02 = 10,031.38/x
  3. Step 3: Cross multiply
    20,571.94x = 30,854.02 × 10,031.38
  4. Step 4: Simplify right side
    20,571.94x = 309,508,399.15
  5. Step 5: Solve for x
    x = 309,508,399.15/20,571.94
  6. Step 6: Final answer
    x = 15,045.17

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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.