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Finding the Fourth Proportional to 19,970.70, 27,564.75 and 12,021.90

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Solution

The fourth proportional to 19,970.70, 27,564.75 and 12,021.90 is: 16,593.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,970.70 : 27,564.75 = 12,021.90 : x
  2. Step 2: Convert to fraction form
    19,970.70/27,564.75 = 12,021.90/x
  3. Step 3: Cross multiply
    19,970.70x = 27,564.75 × 12,021.90
  4. Step 4: Simplify right side
    19,970.70x = 331,380,668.03
  5. Step 5: Solve for x
    x = 331,380,668.03/19,970.70
  6. Step 6: Final answer
    x = 16,593.34

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