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Finding the Fourth Proportional to 20,209.55, 27,887.30 and 11,712

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Solution

The fourth proportional to 20,209.55, 27,887.30 and 11,712 is: 16,161.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,209.55 : 27,887.30 = 11,712 : x
  2. Step 2: Convert to fraction form
    20,209.55/27,887.30 = 11,712/x
  3. Step 3: Cross multiply
    20,209.55x = 27,887.30 × 11,712
  4. Step 4: Simplify right side
    20,209.55x = 326,615,999.04
  5. Step 5: Solve for x
    x = 326,615,999.04/20,209.55
  6. Step 6: Final answer
    x = 16,161.47

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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.