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Finding the Fourth Proportional to 27,066, 40,594.21 and 7,346.09

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Solution

The fourth proportional to 27,066, 40,594.21 and 7,346.09 is: 11,017.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,066 : 40,594.21 = 7,346.09 : x
  2. Step 2: Convert to fraction form
    27,066/40,594.21 = 7,346.09/x
  3. Step 3: Cross multiply
    27,066x = 40,594.21 × 7,346.09
  4. Step 4: Simplify right side
    27,066x = 298,208,683.41
  5. Step 5: Solve for x
    x = 298,208,683.41/27,066
  6. Step 6: Final answer
    x = 11,017.83

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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.