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Finding the Fourth Proportional to 29,817, 41,147.54 and 16,569

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Solution

The fourth proportional to 29,817, 41,147.54 and 16,569 is: 22,865.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,817 : 41,147.54 = 16,569 : x
  2. Step 2: Convert to fraction form
    29,817/41,147.54 = 16,569/x
  3. Step 3: Cross multiply
    29,817x = 41,147.54 × 16,569
  4. Step 4: Simplify right side
    29,817x = 681,773,590.26
  5. Step 5: Solve for x
    x = 681,773,590.26/29,817
  6. Step 6: Final answer
    x = 22,865.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.