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Finding the Fourth Proportional to 20,000.50, 27,600.72 and 11,617

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Solution

The fourth proportional to 20,000.50, 27,600.72 and 11,617 is: 16,031.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,000.50 : 27,600.72 = 11,617 : x
  2. Step 2: Convert to fraction form
    20,000.50/27,600.72 = 11,617/x
  3. Step 3: Cross multiply
    20,000.50x = 27,600.72 × 11,617
  4. Step 4: Simplify right side
    20,000.50x = 320,637,564.24
  5. Step 5: Solve for x
    x = 320,637,564.24/20,000.50
  6. Step 6: Final answer
    x = 16,031.48

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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.