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Finding the Fourth Proportional to 26,096.02, 39,145.35 and 7,377.41

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Solution

The fourth proportional to 26,096.02, 39,145.35 and 7,377.41 is: 11,066.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,096.02 : 39,145.35 = 7,377.41 : x
  2. Step 2: Convert to fraction form
    26,096.02/39,145.35 = 7,377.41/x
  3. Step 3: Cross multiply
    26,096.02x = 39,145.35 × 7,377.41
  4. Step 4: Simplify right side
    26,096.02x = 288,791,296.54
  5. Step 5: Solve for x
    x = 288,791,296.54/26,096.02
  6. Step 6: Final answer
    x = 11,066.49

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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.