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Finding the Fourth Proportional to 19,584, 29,376 and 4,992

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Solution

The fourth proportional to 19,584, 29,376 and 4,992 is: 7,488

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,584 : 29,376 = 4,992 : x
  2. Step 2: Convert to fraction form
    19,584/29,376 = 4,992/x
  3. Step 3: Cross multiply
    19,584x = 29,376 × 4,992
  4. Step 4: Simplify right side
    19,584x = 146,644,992
  5. Step 5: Solve for x
    x = 146,644,992/19,584
  6. Step 6: Final answer
    x = 7,488

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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.