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Finding the Fourth Proportional to 19,991.49, 29,966.36 and 8,140.16

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Solution

The fourth proportional to 19,991.49, 29,966.36 and 8,140.16 is: 12,201.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,991.49 : 29,966.36 = 8,140.16 : x
  2. Step 2: Convert to fraction form
    19,991.49/29,966.36 = 8,140.16/x
  3. Step 3: Cross multiply
    19,991.49x = 29,966.36 × 8,140.16
  4. Step 4: Simplify right side
    19,991.49x = 243,930,774.49
  5. Step 5: Solve for x
    x = 243,930,774.49/19,991.49
  6. Step 6: Final answer
    x = 12,201.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.