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Finding the Fourth Proportional to 13,653.97, 18,842.51 and 7,685.72

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Solution

The fourth proportional to 13,653.97, 18,842.51 and 7,685.72 is: 10,606.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,653.97 : 18,842.51 = 7,685.72 : x
  2. Step 2: Convert to fraction form
    13,653.97/18,842.51 = 7,685.72/x
  3. Step 3: Cross multiply
    13,653.97x = 18,842.51 × 7,685.72
  4. Step 4: Simplify right side
    13,653.97x = 144,818,255.96
  5. Step 5: Solve for x
    x = 144,818,255.96/13,653.97
  6. Step 6: Final answer
    x = 10,606.31

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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.