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Finding the Fourth Proportional to 13,653.49, 18,842.42 and 7,685.55

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Solution

The fourth proportional to 13,653.49, 18,842.42 and 7,685.55 is: 10,606.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,653.49 : 18,842.42 = 7,685.55 : x
  2. Step 2: Convert to fraction form
    13,653.49/18,842.42 = 7,685.55/x
  3. Step 3: Cross multiply
    13,653.49x = 18,842.42 × 7,685.55
  4. Step 4: Simplify right side
    13,653.49x = 144,814,266.82
  5. Step 5: Solve for x
    x = 144,814,266.82/13,653.49
  6. Step 6: Final answer
    x = 10,606.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.