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Finding the Fourth Proportional to 17,412.31, 24,029.01 and 9,454.54

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Solution

The fourth proportional to 17,412.31, 24,029.01 and 9,454.54 is: 13,047.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,412.31 : 24,029.01 = 9,454.54 : x
  2. Step 2: Convert to fraction form
    17,412.31/24,029.01 = 9,454.54/x
  3. Step 3: Cross multiply
    17,412.31x = 24,029.01 × 9,454.54
  4. Step 4: Simplify right side
    17,412.31x = 227,183,236.21
  5. Step 5: Solve for x
    x = 227,183,236.21/17,412.31
  6. Step 6: Final answer
    x = 13,047.28

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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.