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Finding the Fourth Proportional to 20,232.30, 27,917.19 and 11,277.84

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Solution

The fourth proportional to 20,232.30, 27,917.19 and 11,277.84 is: 15,561.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,232.30 : 27,917.19 = 11,277.84 : x
  2. Step 2: Convert to fraction form
    20,232.30/27,917.19 = 11,277.84/x
  3. Step 3: Cross multiply
    20,232.30x = 27,917.19 × 11,277.84
  4. Step 4: Simplify right side
    20,232.30x = 314,845,602.07
  5. Step 5: Solve for x
    x = 314,845,602.07/20,232.30
  6. Step 6: Final answer
    x = 15,561.53

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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.