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Finding the Fourth Proportional to 23,916, 35,886.96 and 11,604

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Solution

The fourth proportional to 23,916, 35,886.96 and 11,604 is: 17,412.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,916 : 35,886.96 = 11,604 : x
  2. Step 2: Convert to fraction form
    23,916/35,886.96 = 11,604/x
  3. Step 3: Cross multiply
    23,916x = 35,886.96 × 11,604
  4. Step 4: Simplify right side
    23,916x = 416,432,283.84
  5. Step 5: Solve for x
    x = 416,432,283.84/23,916
  6. Step 6: Final answer
    x = 17,412.29

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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.