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Finding the Fourth Proportional to 20,798.28, 31,162.22 and 12,573

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Solution

The fourth proportional to 20,798.28, 31,162.22 and 12,573 is: 18,838.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,798.28 : 31,162.22 = 12,573 : x
  2. Step 2: Convert to fraction form
    20,798.28/31,162.22 = 12,573/x
  3. Step 3: Cross multiply
    20,798.28x = 31,162.22 × 12,573
  4. Step 4: Simplify right side
    20,798.28x = 391,802,592.06
  5. Step 5: Solve for x
    x = 391,802,592.06/20,798.28
  6. Step 6: Final answer
    x = 18,838.22

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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.