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Finding the Fourth Proportional to 19,725, 29,592.63 and 5,874

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Solution

The fourth proportional to 19,725, 29,592.63 and 5,874 is: 8,812.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,725 : 29,592.63 = 5,874 : x
  2. Step 2: Convert to fraction form
    19,725/29,592.63 = 5,874/x
  3. Step 3: Cross multiply
    19,725x = 29,592.63 × 5,874
  4. Step 4: Simplify right side
    19,725x = 173,827,108.62
  5. Step 5: Solve for x
    x = 173,827,108.62/19,725
  6. Step 6: Final answer
    x = 8,812.53

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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.