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Finding the Fourth Proportional to 19,804.64, 27,340.56 and 13,464.80

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Solution

The fourth proportional to 19,804.64, 27,340.56 and 13,464.80 is: 18,588.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,804.64 : 27,340.56 = 13,464.80 : x
  2. Step 2: Convert to fraction form
    19,804.64/27,340.56 = 13,464.80/x
  3. Step 3: Cross multiply
    19,804.64x = 27,340.56 × 13,464.80
  4. Step 4: Simplify right side
    19,804.64x = 368,135,172.29
  5. Step 5: Solve for x
    x = 368,135,172.29/19,804.64
  6. Step 6: Final answer
    x = 18,588.33

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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.