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Finding the Fourth Proportional to 20,208.86, 27,887.46 and 11,256.17

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Solution

The fourth proportional to 20,208.86, 27,887.46 and 11,256.17 is: 15,533.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,208.86 : 27,887.46 = 11,256.17 : x
  2. Step 2: Convert to fraction form
    20,208.86/27,887.46 = 11,256.17/x
  3. Step 3: Cross multiply
    20,208.86x = 27,887.46 × 11,256.17
  4. Step 4: Simplify right side
    20,208.86x = 313,905,851.19
  5. Step 5: Solve for x
    x = 313,905,851.19/20,208.86
  6. Step 6: Final answer
    x = 15,533.08

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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.