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Finding the Fourth Proportional to 20,267.41, 27,967.89 and 11,315.49

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Solution

The fourth proportional to 20,267.41, 27,967.89 and 11,315.49 is: 15,614.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,267.41 : 27,967.89 = 11,315.49 : x
  2. Step 2: Convert to fraction form
    20,267.41/27,967.89 = 11,315.49/x
  3. Step 3: Cross multiply
    20,267.41x = 27,967.89 × 11,315.49
  4. Step 4: Simplify right side
    20,267.41x = 316,470,317.17
  5. Step 5: Solve for x
    x = 316,470,317.17/20,267.41
  6. Step 6: Final answer
    x = 15,614.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.