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Finding the Fourth Proportional to 23,184, 34,776 and 10,872

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Solution

The fourth proportional to 23,184, 34,776 and 10,872 is: 16,308

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,184 : 34,776 = 10,872 : x
  2. Step 2: Convert to fraction form
    23,184/34,776 = 10,872/x
  3. Step 3: Cross multiply
    23,184x = 34,776 × 10,872
  4. Step 4: Simplify right side
    23,184x = 378,084,672
  5. Step 5: Solve for x
    x = 378,084,672/23,184
  6. Step 6: Final answer
    x = 16,308

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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.