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Finding the Fourth Proportional to 17,730.38, 24,500.54 and 12,942.20

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Solution

The fourth proportional to 17,730.38, 24,500.54 and 12,942.20 is: 17,884.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,730.38 : 24,500.54 = 12,942.20 : x
  2. Step 2: Convert to fraction form
    17,730.38/24,500.54 = 12,942.20/x
  3. Step 3: Cross multiply
    17,730.38x = 24,500.54 × 12,942.20
  4. Step 4: Simplify right side
    17,730.38x = 317,090,888.79
  5. Step 5: Solve for x
    x = 317,090,888.79/17,730.38
  6. Step 6: Final answer
    x = 17,884.04

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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.