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Finding the Fourth Proportional to 26,785.68, 40,179.12 and 7,066.23

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Solution

The fourth proportional to 26,785.68, 40,179.12 and 7,066.23 is: 10,599.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,785.68 : 40,179.12 = 7,066.23 : x
  2. Step 2: Convert to fraction form
    26,785.68/40,179.12 = 7,066.23/x
  3. Step 3: Cross multiply
    26,785.68x = 40,179.12 × 7,066.23
  4. Step 4: Simplify right side
    26,785.68x = 283,914,903.12
  5. Step 5: Solve for x
    x = 283,914,903.12/26,785.68
  6. Step 6: Final answer
    x = 10,599.50

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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.