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Finding the Fourth Proportional to 20,160.64, 27,822.71 and 11,208.32

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Solution

The fourth proportional to 20,160.64, 27,822.71 and 11,208.32 is: 15,468.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,160.64 : 27,822.71 = 11,208.32 : x
  2. Step 2: Convert to fraction form
    20,160.64/27,822.71 = 11,208.32/x
  3. Step 3: Cross multiply
    20,160.64x = 27,822.71 × 11,208.32
  4. Step 4: Simplify right side
    20,160.64x = 311,845,836.95
  5. Step 5: Solve for x
    x = 311,845,836.95/20,160.64
  6. Step 6: Final answer
    x = 15,468.05

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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.