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Finding the Fourth Proportional to 26,793.60, 40,176 and 9,258.24

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Solution

The fourth proportional to 26,793.60, 40,176 and 9,258.24 is: 13,882.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,793.60 : 40,176 = 9,258.24 : x
  2. Step 2: Convert to fraction form
    26,793.60/40,176 = 9,258.24/x
  3. Step 3: Cross multiply
    26,793.60x = 40,176 × 9,258.24
  4. Step 4: Simplify right side
    26,793.60x = 371,959,050.24
  5. Step 5: Solve for x
    x = 371,959,050.24/26,793.60
  6. Step 6: Final answer
    x = 13,882.38

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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.