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Finding the Fourth Proportional to 16,541.03, 24,812.85 and 4,694.61

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Solution

The fourth proportional to 16,541.03, 24,812.85 and 4,694.61 is: 7,042.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,541.03 : 24,812.85 = 4,694.61 : x
  2. Step 2: Convert to fraction form
    16,541.03/24,812.85 = 4,694.61/x
  3. Step 3: Cross multiply
    16,541.03x = 24,812.85 × 4,694.61
  4. Step 4: Simplify right side
    16,541.03x = 116,486,653.74
  5. Step 5: Solve for x
    x = 116,486,653.74/16,541.03
  6. Step 6: Final answer
    x = 7,042.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.