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Finding the Fourth Proportional to 13,190.34, 18,204.14 and 7,526.49

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Solution

The fourth proportional to 13,190.34, 18,204.14 and 7,526.49 is: 10,387.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,190.34 : 18,204.14 = 7,526.49 : x
  2. Step 2: Convert to fraction form
    13,190.34/18,204.14 = 7,526.49/x
  3. Step 3: Cross multiply
    13,190.34x = 18,204.14 × 7,526.49
  4. Step 4: Simplify right side
    13,190.34x = 137,013,240.04
  5. Step 5: Solve for x
    x = 137,013,240.04/13,190.34
  6. Step 6: Final answer
    x = 10,387.39

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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.