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Finding the Fourth Proportional to 21,650, 29,877.02 and 11,714

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Solution

The fourth proportional to 21,650, 29,877.02 and 11,714 is: 16,165.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,650 : 29,877.02 = 11,714 : x
  2. Step 2: Convert to fraction form
    21,650/29,877.02 = 11,714/x
  3. Step 3: Cross multiply
    21,650x = 29,877.02 × 11,714
  4. Step 4: Simplify right side
    21,650x = 349,979,412.28
  5. Step 5: Solve for x
    x = 349,979,412.28/21,650
  6. Step 6: Final answer
    x = 16,165.33

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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.