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Finding the Fourth Proportional to 19,714, 27,209.94 and 13,000.84

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Solution

The fourth proportional to 19,714, 27,209.94 and 13,000.84 is: 17,944.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,714 : 27,209.94 = 13,000.84 : x
  2. Step 2: Convert to fraction form
    19,714/27,209.94 = 13,000.84/x
  3. Step 3: Cross multiply
    19,714x = 27,209.94 × 13,000.84
  4. Step 4: Simplify right side
    19,714x = 353,752,076.35
  5. Step 5: Solve for x
    x = 353,752,076.35/19,714
  6. Step 6: Final answer
    x = 17,944.21

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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.