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Finding the Fourth Proportional to 17,471.54, 24,111.24 and 9,514.10

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Solution

The fourth proportional to 17,471.54, 24,111.24 and 9,514.10 is: 13,129.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,471.54 : 24,111.24 = 9,514.10 : x
  2. Step 2: Convert to fraction form
    17,471.54/24,111.24 = 9,514.10/x
  3. Step 3: Cross multiply
    17,471.54x = 24,111.24 × 9,514.10
  4. Step 4: Simplify right side
    17,471.54x = 229,396,748.48
  5. Step 5: Solve for x
    x = 229,396,748.48/17,471.54
  6. Step 6: Final answer
    x = 13,129.74

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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.