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Finding the Fourth Proportional to 13,804.20, 19,052.82 and 9,089

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Solution

The fourth proportional to 13,804.20, 19,052.82 and 9,089 is: 12,544.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,804.20 : 19,052.82 = 9,089 : x
  2. Step 2: Convert to fraction form
    13,804.20/19,052.82 = 9,089/x
  3. Step 3: Cross multiply
    13,804.20x = 19,052.82 × 9,089
  4. Step 4: Simplify right side
    13,804.20x = 173,171,080.98
  5. Step 5: Solve for x
    x = 173,171,080.98/13,804.20
  6. Step 6: Final answer
    x = 12,544.81

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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.