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Finding the Fourth Proportional to 13,265.96, 18,306.72 and 7,297.49

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Solution

The fourth proportional to 13,265.96, 18,306.72 and 7,297.49 is: 10,070.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,265.96 : 18,306.72 = 7,297.49 : x
  2. Step 2: Convert to fraction form
    13,265.96/18,306.72 = 7,297.49/x
  3. Step 3: Cross multiply
    13,265.96x = 18,306.72 × 7,297.49
  4. Step 4: Simplify right side
    13,265.96x = 133,593,151.90
  5. Step 5: Solve for x
    x = 133,593,151.90/13,265.96
  6. Step 6: Final answer
    x = 10,070.38

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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.