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Finding the Fourth Proportional to 19,804.74, 27,320.31 and 13,429.17

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Solution

The fourth proportional to 19,804.74, 27,320.31 and 13,429.17 is: 18,525.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,804.74 : 27,320.31 = 13,429.17 : x
  2. Step 2: Convert to fraction form
    19,804.74/27,320.31 = 13,429.17/x
  3. Step 3: Cross multiply
    19,804.74x = 27,320.31 × 13,429.17
  4. Step 4: Simplify right side
    19,804.74x = 366,889,087.44
  5. Step 5: Solve for x
    x = 366,889,087.44/19,804.74
  6. Step 6: Final answer
    x = 18,525.32

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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.