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Finding the Fourth Proportional to 22,650.75, 31,258.04 and 13,219.38

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Solution

The fourth proportional to 22,650.75, 31,258.04 and 13,219.38 is: 18,242.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,650.75 : 31,258.04 = 13,219.38 : x
  2. Step 2: Convert to fraction form
    22,650.75/31,258.04 = 13,219.38/x
  3. Step 3: Cross multiply
    22,650.75x = 31,258.04 × 13,219.38
  4. Step 4: Simplify right side
    22,650.75x = 413,211,842.72
  5. Step 5: Solve for x
    x = 413,211,842.72/22,650.75
  6. Step 6: Final answer
    x = 18,242.74

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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.