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Finding the Fourth Proportional to 19,807.64, 27,338.82 and 11,851.64

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Solution

The fourth proportional to 19,807.64, 27,338.82 and 11,851.64 is: 16,357.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,807.64 : 27,338.82 = 11,851.64 : x
  2. Step 2: Convert to fraction form
    19,807.64/27,338.82 = 11,851.64/x
  3. Step 3: Cross multiply
    19,807.64x = 27,338.82 × 11,851.64
  4. Step 4: Simplify right side
    19,807.64x = 324,009,852.66
  5. Step 5: Solve for x
    x = 324,009,852.66/19,807.64
  6. Step 6: Final answer
    x = 16,357.82

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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.