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Finding the Fourth Proportional to 15,183.12, 22,804.70 and 9,191.31

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Solution

The fourth proportional to 15,183.12, 22,804.70 and 9,191.31 is: 13,805.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,183.12 : 22,804.70 = 9,191.31 : x
  2. Step 2: Convert to fraction form
    15,183.12/22,804.70 = 9,191.31/x
  3. Step 3: Cross multiply
    15,183.12x = 22,804.70 × 9,191.31
  4. Step 4: Simplify right side
    15,183.12x = 209,605,021.20
  5. Step 5: Solve for x
    x = 209,605,021.20/15,183.12
  6. Step 6: Final answer
    x = 13,805.13

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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.