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Finding the Fourth Proportional to 19,553, 29,334.36 and 5,702

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Solution

The fourth proportional to 19,553, 29,334.36 and 5,702 is: 8,554.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,553 : 29,334.36 = 5,702 : x
  2. Step 2: Convert to fraction form
    19,553/29,334.36 = 5,702/x
  3. Step 3: Cross multiply
    19,553x = 29,334.36 × 5,702
  4. Step 4: Simplify right side
    19,553x = 167,264,520.72
  5. Step 5: Solve for x
    x = 167,264,520.72/19,553
  6. Step 6: Final answer
    x = 8,554.42

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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.