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Finding the Fourth Proportional to 13,653.21, 18,841.32 and 7,685.13

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Solution

The fourth proportional to 13,653.21, 18,841.32 and 7,685.13 is: 10,605.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,653.21 : 18,841.32 = 7,685.13 : x
  2. Step 2: Convert to fraction form
    13,653.21/18,841.32 = 7,685.13/x
  3. Step 3: Cross multiply
    13,653.21x = 18,841.32 × 7,685.13
  4. Step 4: Simplify right side
    13,653.21x = 144,797,993.57
  5. Step 5: Solve for x
    x = 144,797,993.57/13,653.21
  6. Step 6: Final answer
    x = 10,605.42

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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.