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Finding the Fourth Proportional to 17,422.90, 24,053.56 and 11,471.87

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Solution

The fourth proportional to 17,422.90, 24,053.56 and 11,471.87 is: 15,837.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,422.90 : 24,053.56 = 11,471.87 : x
  2. Step 2: Convert to fraction form
    17,422.90/24,053.56 = 11,471.87/x
  3. Step 3: Cross multiply
    17,422.90x = 24,053.56 × 11,471.87
  4. Step 4: Simplify right side
    17,422.90x = 275,939,344.81
  5. Step 5: Solve for x
    x = 275,939,344.81/17,422.90
  6. Step 6: Final answer
    x = 15,837.74

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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.