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Finding the Fourth Proportional to 13,653.68, 18,841.86 and 7,685.33

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Solution

The fourth proportional to 13,653.68, 18,841.86 and 7,685.33 is: 10,605.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,653.68 : 18,841.86 = 7,685.33 : x
  2. Step 2: Convert to fraction form
    13,653.68/18,841.86 = 7,685.33/x
  3. Step 3: Cross multiply
    13,653.68x = 18,841.86 × 7,685.33
  4. Step 4: Simplify right side
    13,653.68x = 144,805,817.70
  5. Step 5: Solve for x
    x = 144,805,817.70/13,653.68
  6. Step 6: Final answer
    x = 10,605.63

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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.