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Finding the Fourth Proportional to 13,349.63, 18,422.55 and 7,381.41

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Solution

The fourth proportional to 13,349.63, 18,422.55 and 7,381.41 is: 10,186.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,349.63 : 18,422.55 = 7,381.41 : x
  2. Step 2: Convert to fraction form
    13,349.63/18,422.55 = 7,381.41/x
  3. Step 3: Cross multiply
    13,349.63x = 18,422.55 × 7,381.41
  4. Step 4: Simplify right side
    13,349.63x = 135,984,394.80
  5. Step 5: Solve for x
    x = 135,984,394.80/13,349.63
  6. Step 6: Final answer
    x = 10,186.38

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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.