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Finding the Fourth Proportional to 26,818.64, 40,230 and 7,096.68

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Solution

The fourth proportional to 26,818.64, 40,230 and 7,096.68 is: 10,645.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,818.64 : 40,230 = 7,096.68 : x
  2. Step 2: Convert to fraction form
    26,818.64/40,230 = 7,096.68/x
  3. Step 3: Cross multiply
    26,818.64x = 40,230 × 7,096.68
  4. Step 4: Simplify right side
    26,818.64x = 285,499,436.40
  5. Step 5: Solve for x
    x = 285,499,436.40/26,818.64
  6. Step 6: Final answer
    x = 10,645.56

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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.