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Finding the Fourth Proportional to 12,884.90, 19,321.23 and 4,991.10

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Solution

The fourth proportional to 12,884.90, 19,321.23 and 4,991.10 is: 7,484.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,884.90 : 19,321.23 = 4,991.10 : x
  2. Step 2: Convert to fraction form
    12,884.90/19,321.23 = 4,991.10/x
  3. Step 3: Cross multiply
    12,884.90x = 19,321.23 × 4,991.10
  4. Step 4: Simplify right side
    12,884.90x = 96,434,191.05
  5. Step 5: Solve for x
    x = 96,434,191.05/12,884.90
  6. Step 6: Final answer
    x = 7,484.28

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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.