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Finding the Fourth Proportional to 20,267.04, 27,967.50 and 11,883

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Solution

The fourth proportional to 20,267.04, 27,967.50 and 11,883 is: 16,397.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,267.04 : 27,967.50 = 11,883 : x
  2. Step 2: Convert to fraction form
    20,267.04/27,967.50 = 11,883/x
  3. Step 3: Cross multiply
    20,267.04x = 27,967.50 × 11,883
  4. Step 4: Simplify right side
    20,267.04x = 332,337,802.50
  5. Step 5: Solve for x
    x = 332,337,802.50/20,267.04
  6. Step 6: Final answer
    x = 16,397.94

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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.