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Finding the Fourth Proportional to 23,832, 35,748 and 7,416

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Solution

The fourth proportional to 23,832, 35,748 and 7,416 is: 11,124

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,832 : 35,748 = 7,416 : x
  2. Step 2: Convert to fraction form
    23,832/35,748 = 7,416/x
  3. Step 3: Cross multiply
    23,832x = 35,748 × 7,416
  4. Step 4: Simplify right side
    23,832x = 265,107,168
  5. Step 5: Solve for x
    x = 265,107,168/23,832
  6. Step 6: Final answer
    x = 11,124

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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.