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Finding the Fourth Proportional to 17,754.72, 24,510.38 and 11,042.51

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Solution

The fourth proportional to 17,754.72, 24,510.38 and 11,042.51 is: 15,244.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,754.72 : 24,510.38 = 11,042.51 : x
  2. Step 2: Convert to fraction form
    17,754.72/24,510.38 = 11,042.51/x
  3. Step 3: Cross multiply
    17,754.72x = 24,510.38 × 11,042.51
  4. Step 4: Simplify right side
    17,754.72x = 270,656,025.86
  5. Step 5: Solve for x
    x = 270,656,025.86/17,754.72
  6. Step 6: Final answer
    x = 15,244.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.