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Finding the Fourth Proportional to 12,942.03, 17,854.38 and 8,223.78

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Solution

The fourth proportional to 12,942.03, 17,854.38 and 8,223.78 is: 11,345.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,942.03 : 17,854.38 = 8,223.78 : x
  2. Step 2: Convert to fraction form
    12,942.03/17,854.38 = 8,223.78/x
  3. Step 3: Cross multiply
    12,942.03x = 17,854.38 × 8,223.78
  4. Step 4: Simplify right side
    12,942.03x = 146,830,493.16
  5. Step 5: Solve for x
    x = 146,830,493.16/12,942.03
  6. Step 6: Final answer
    x = 11,345.24

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1.5x scale

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.