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Finding the Fourth Proportional to 12,536.36, 17,299.65 and 7,497.61

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Solution

The fourth proportional to 12,536.36, 17,299.65 and 7,497.61 is: 10,346.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,536.36 : 17,299.65 = 7,497.61 : x
  2. Step 2: Convert to fraction form
    12,536.36/17,299.65 = 7,497.61/x
  3. Step 3: Cross multiply
    12,536.36x = 17,299.65 × 7,497.61
  4. Step 4: Simplify right side
    12,536.36x = 129,705,971.53
  5. Step 5: Solve for x
    x = 129,705,971.53/12,536.36
  6. Step 6: Final answer
    x = 10,346.38

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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.