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Finding the Fourth Proportional to 19,710, 27,204.42 and 12,996.84

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Solution

The fourth proportional to 19,710, 27,204.42 and 12,996.84 is: 17,938.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,710 : 27,204.42 = 12,996.84 : x
  2. Step 2: Convert to fraction form
    19,710/27,204.42 = 12,996.84/x
  3. Step 3: Cross multiply
    19,710x = 27,204.42 × 12,996.84
  4. Step 4: Simplify right side
    19,710x = 353,571,494.03
  5. Step 5: Solve for x
    x = 353,571,494.03/19,710
  6. Step 6: Final answer
    x = 17,938.69

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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.