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Finding the Fourth Proportional to 20,224, 27,909.14 and 11,271.30

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Solution

The fourth proportional to 20,224, 27,909.14 and 11,271.30 is: 15,554.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,224 : 27,909.14 = 11,271.30 : x
  2. Step 2: Convert to fraction form
    20,224/27,909.14 = 11,271.30/x
  3. Step 3: Cross multiply
    20,224x = 27,909.14 × 11,271.30
  4. Step 4: Simplify right side
    20,224x = 314,572,289.68
  5. Step 5: Solve for x
    x = 314,572,289.68/20,224
  6. Step 6: Final answer
    x = 15,554.41

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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.