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Finding the Fourth Proportional to 13,653.44, 18,842.70 and 7,685.68

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Solution

The fourth proportional to 13,653.44, 18,842.70 and 7,685.68 is: 10,606.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,653.44 : 18,842.70 = 7,685.68 : x
  2. Step 2: Convert to fraction form
    13,653.44/18,842.70 = 7,685.68/x
  3. Step 3: Cross multiply
    13,653.44x = 18,842.70 × 7,685.68
  4. Step 4: Simplify right side
    13,653.44x = 144,818,962.54
  5. Step 5: Solve for x
    x = 144,818,962.54/13,653.44
  6. Step 6: Final answer
    x = 10,606.77

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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.