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Finding the Fourth Proportional to 23,988.34, 35,964.74 and 11,496.47

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Solution

The fourth proportional to 23,988.34, 35,964.74 and 11,496.47 is: 17,236.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,988.34 : 35,964.74 = 11,496.47 : x
  2. Step 2: Convert to fraction form
    23,988.34/35,964.74 = 11,496.47/x
  3. Step 3: Cross multiply
    23,988.34x = 35,964.74 × 11,496.47
  4. Step 4: Simplify right side
    23,988.34x = 413,467,586.90
  5. Step 5: Solve for x
    x = 413,467,586.90/23,988.34
  6. Step 6: Final answer
    x = 17,236.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.