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Finding the Fourth Proportional to 13,804.20, 19,049.31 and 9,085.14

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Solution

The fourth proportional to 13,804.20, 19,049.31 and 9,085.14 is: 12,537.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,804.20 : 19,049.31 = 9,085.14 : x
  2. Step 2: Convert to fraction form
    13,804.20/19,049.31 = 9,085.14/x
  3. Step 3: Cross multiply
    13,804.20x = 19,049.31 × 9,085.14
  4. Step 4: Simplify right side
    13,804.20x = 173,065,648.25
  5. Step 5: Solve for x
    x = 173,065,648.25/13,804.20
  6. Step 6: Final answer
    x = 12,537.17

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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.