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Finding the Fourth Proportional to 13,653.87, 18,842.94 and 7,685.92

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Solution

The fourth proportional to 13,653.87, 18,842.94 and 7,685.92 is: 10,606.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,653.87 : 18,842.94 = 7,685.92 : x
  2. Step 2: Convert to fraction form
    13,653.87/18,842.94 = 7,685.92/x
  3. Step 3: Cross multiply
    13,653.87x = 18,842.94 × 7,685.92
  4. Step 4: Simplify right side
    13,653.87x = 144,825,329.40
  5. Step 5: Solve for x
    x = 144,825,329.40/13,653.87
  6. Step 6: Final answer
    x = 10,606.91

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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.