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Finding the Fourth Proportional to 29,962, 41,347.56 and 16,714

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Solution

The fourth proportional to 29,962, 41,347.56 and 16,714 is: 23,065.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,962 : 41,347.56 = 16,714 : x
  2. Step 2: Convert to fraction form
    29,962/41,347.56 = 16,714/x
  3. Step 3: Cross multiply
    29,962x = 41,347.56 × 16,714
  4. Step 4: Simplify right side
    29,962x = 691,083,117.84
  5. Step 5: Solve for x
    x = 691,083,117.84/29,962
  6. Step 6: Final answer
    x = 23,065.32

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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.